diff --git a/Secondo anno/Elementi di probabilità e statistica/main.pdf b/Secondo anno/Elementi di probabilità e statistica/main.pdf index 2f93f5f..7cb9e81 100644 --- a/Secondo anno/Elementi di probabilità e statistica/main.pdf +++ b/Secondo anno/Elementi di probabilità e statistica/main.pdf @@ -43,600 +43,606 @@ endobj (\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000e\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 32 0 obj -<< /S /GoTo /D (chapter*.9) >> +<< /S /GoTo /D (section*.9) >> endobj 35 0 obj -(\376\377\000P\000r\000e\000r\000e\000q\000u\000i\000s\000i\000t\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000i) +(\376\377\000S\000t\000a\000t\000i\000s\000t\000i\000c\000a\000\040\000i\000n\000f\000e\000r\000e\000n\000z\000i\000a\000l\000e) endobj 36 0 obj -<< /S /GoTo /D (section*.10) >> +<< /S /GoTo /D (chapter*.10) >> endobj 39 0 obj -(\376\377\000A\000l\000g\000e\000b\000r\000a\000\040\000l\000i\000n\000e\000a\000r\000e) +(\376\377\000P\000r\000e\000r\000e\000q\000u\000i\000s\000i\000t\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000i) endobj 40 0 obj << /S /GoTo /D (section*.11) >> endobj 43 0 obj -(\376\377\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a\000\040\000e\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) +(\376\377\000A\000l\000g\000e\000b\000r\000a\000\040\000l\000i\000n\000e\000a\000r\000e) endobj 44 0 obj << /S /GoTo /D (section*.12) >> endobj 47 0 obj -(\376\377\000C\000o\000m\000b\000i\000n\000a\000t\000o\000r\000i\000a) +(\376\377\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a\000\040\000e\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 48 0 obj << /S /GoTo /D (section*.13) >> endobj 51 0 obj -(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000i\000n\000s\000i\000e\000m\000i) +(\376\377\000C\000o\000m\000b\000i\000n\000a\000t\000o\000r\000i\000a) endobj 52 0 obj -<< /S /GoTo /D (chapter*.14) >> +<< /S /GoTo /D (section*.14) >> endobj 55 0 obj -(\376\377\000L\000i\000s\000t\000a\000\040\000d\000e\000l\000l\000e\000\040\000i\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000e\000\040\000s\000o\000m\000m\000a\000t\000o\000r\000i\000e) +(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000i\000n\000s\000i\000e\000m\000i) endobj 56 0 obj -<< /S /GoTo /D (chapter.1) >> +<< /S /GoTo /D (chapter*.15) >> endobj 59 0 obj -(\376\377\000S\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) +(\376\377\000L\000i\000s\000t\000a\000\040\000d\000e\000l\000l\000e\000\040\000i\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000e\000\040\000s\000o\000m\000m\000a\000t\000o\000r\000i\000e) endobj 60 0 obj -<< /S /GoTo /D (section.1.1) >> +<< /S /GoTo /D (chapter.1) >> endobj 63 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) +(\376\377\000S\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) endobj 64 0 obj -<< /S /GoTo /D (subsection.1.1.1) >> +<< /S /GoTo /D (section.1.1) >> endobj 67 0 obj -(\376\377\000E\000s\000p\000e\000r\000i\000m\000e\000n\000t\000o\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000o\000,\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) endobj 68 0 obj -<< /S /GoTo /D (subsection.1.1.2) >> +<< /S /GoTo /D (subsection.1.1.1) >> endobj 71 0 obj -(\376\377\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000,\000\040\000s\000p\000a\000z\000i\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) +(\376\377\000E\000s\000p\000e\000r\000i\000m\000e\000n\000t\000o\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000o\000,\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i) endobj 72 0 obj -<< /S /GoTo /D (subsection.1.1.3) >> +<< /S /GoTo /D (subsection.1.1.2) >> endobj 75 0 obj -(\376\377\000I\000n\000s\000i\000e\000m\000i\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000n\000a\000t\000u\000r\000a\000l\000e) +(\376\377\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000,\000\040\000s\000p\000a\000z\000i\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) endobj 76 0 obj -<< /S /GoTo /D (subsection.1.1.4) >> +<< /S /GoTo /D (subsection.1.1.3) >> endobj 79 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000u\000n\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000g\000e\000n\000e\000r\000a\000t\000a) +(\376\377\000I\000n\000s\000i\000e\000m\000i\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000n\000a\000t\000u\000r\000a\000l\000e) endobj 80 0 obj -<< /S /GoTo /D (section.1.2) >> +<< /S /GoTo /D (subsection.1.1.4) >> endobj 83 0 obj -(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000e\000\040\000l\000o\000g\000i\000c\000h\000e\000\040\000e\000\040\000r\000e\000l\000a\000z\000i\000o\000n\000a\000l\000i\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000u\000n\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000g\000e\000n\000e\000r\000a\000t\000a) endobj 84 0 obj -<< /S /GoTo /D (section.1.3) >> +<< /S /GoTo /D (section.1.2) >> endobj 87 0 obj -(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) +(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000e\000\040\000l\000o\000g\000i\000c\000h\000e\000\040\000e\000\040\000r\000e\000l\000a\000z\000i\000o\000n\000a\000l\000i\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) endobj 88 0 obj -<< /S /GoTo /D (subsection.1.3.1) >> +<< /S /GoTo /D (section.1.3) >> endobj 91 0 obj -(\376\377\000L\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P\000\040\000s\000u\000\040\003\251\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) +(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) endobj 92 0 obj -<< /S /GoTo /D (subsection.1.3.2) >> +<< /S /GoTo /D (subsection.1.3.1) >> endobj 95 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P) +(\376\377\000L\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P\000\040\000s\000u\000\040\003\251\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) endobj 96 0 obj -<< /S /GoTo /D (subsection.1.3.3) >> +<< /S /GoTo /D (subsection.1.3.2) >> endobj 99 0 obj -(\376\377\000E\000v\000e\000n\000t\000i\000\040\000i\000n\000c\000o\000m\000p\000a\000t\000i\000b\000i\000l\000i\000,\000\040\000q\000u\000a\000s\000i\000\040\000c\000e\000r\000t\000i\000\040\000e\000\040\000t\000r\000a\000s\000c\000u\000r\000a\000b\000i\000l\000i\000,\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000c\000h\000e\000\040\000a\000c\000c\000a\000d\000o\000n\000o\000\040\000q\000.\000c\000.) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P) endobj 100 0 obj -<< /S /GoTo /D (section.1.4) >> +<< /S /GoTo /D (subsection.1.3.3) >> endobj 103 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000t\000a) +(\376\377\000E\000v\000e\000n\000t\000i\000\040\000i\000n\000c\000o\000m\000p\000a\000t\000i\000b\000i\000l\000i\000,\000\040\000q\000u\000a\000s\000i\000\040\000c\000e\000r\000t\000i\000\040\000e\000\040\000t\000r\000a\000s\000c\000u\000r\000a\000b\000i\000l\000i\000,\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000c\000h\000e\000\040\000a\000c\000c\000a\000d\000o\000n\000o\000\040\000q\000.\000c\000.) endobj 104 0 obj -<< /S /GoTo /D (subsection.1.4.1) >> +<< /S /GoTo /D (section.1.4) >> endobj 107 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000P\000\050\040\042\000|\000B\000\051) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000t\000a) endobj 108 0 obj -<< /S /GoTo /D (subsection.1.4.2) >> +<< /S /GoTo /D (subsection.1.4.1) >> endobj 111 0 obj -(\376\377\000R\000e\000g\000o\000l\000a\000\040\000d\000e\000l\000l\000a\000\040\000c\000a\000t\000e\000n\000a\000,\000\040\000f\000o\000r\000m\000u\000l\000a\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000t\000o\000t\000a\000l\000i\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000B\000a\000y\000e\000s) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000P\000\050\040\042\000|\000B\000\051) endobj 112 0 obj -<< /S /GoTo /D (subsection.1.4.3) >> +<< /S /GoTo /D (subsection.1.4.2) >> endobj 115 0 obj -(\376\377\000R\000a\000p\000p\000o\000r\000t\000o\000\040\000d\000i\000\040\000i\000n\000f\000l\000u\000e\000n\000z\000a\000,\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000p\000o\000s\000i\000t\000i\000v\000a\000\040\000e\000\040\000n\000e\000g\000a\000t\000i\000v\000a) +(\376\377\000R\000e\000g\000o\000l\000a\000\040\000d\000e\000l\000l\000a\000\040\000c\000a\000t\000e\000n\000a\000,\000\040\000f\000o\000r\000m\000u\000l\000a\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000t\000o\000t\000a\000l\000i\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000B\000a\000y\000e\000s) endobj 116 0 obj -<< /S /GoTo /D (section.1.5) >> +<< /S /GoTo /D (subsection.1.4.3) >> endobj 119 0 obj -(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000s\000t\000o\000c\000a\000s\000t\000i\000c\000a\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) +(\376\377\000R\000a\000p\000p\000o\000r\000t\000o\000\040\000d\000i\000\040\000i\000n\000f\000l\000u\000e\000n\000z\000a\000,\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000p\000o\000s\000i\000t\000i\000v\000a\000\040\000e\000\040\000n\000e\000g\000a\000t\000i\000v\000a) endobj 120 0 obj -<< /S /GoTo /D (chapter.2) >> +<< /S /GoTo /D (section.1.5) >> endobj 123 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) +(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000s\000t\000o\000c\000a\000s\000t\000i\000c\000a\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) endobj 124 0 obj -<< /S /GoTo /D (section.2.1) >> +<< /S /GoTo /D (chapter.2) >> endobj 127 0 obj -(\376\377\000F\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) endobj 128 0 obj -<< /S /GoTo /D (subsection.2.1.1) >> +<< /S /GoTo /D (section.2.1) >> endobj 131 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000s\000o\000\040\000d\000i\000s\000c\000r\000e\000t\000o) +(\376\377\000F\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) endobj 132 0 obj -<< /S /GoTo /D (subsection.2.1.2) >> +<< /S /GoTo /D (subsection.2.1.1) >> endobj 135 0 obj -(\376\377\000R\000a\000n\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000e\000s\000t\000r\000i\000z\000i\000o\000n\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000s\000o\000\040\000d\000i\000s\000c\000r\000e\000t\000o) endobj 136 0 obj -<< /S /GoTo /D (subsection.2.1.3) >> +<< /S /GoTo /D (subsection.2.1.2) >> endobj 139 0 obj -(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000s\000u\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000\040\000n\000o\000n\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000z\000z\000a\000z\000i\000o\000n\000e) +(\376\377\000R\000a\000n\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000e\000s\000t\000r\000i\000z\000i\000o\000n\000e) endobj 140 0 obj -<< /S /GoTo /D (section.2.2) >> +<< /S /GoTo /D (subsection.2.1.3) >> endobj 143 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e) +(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000s\000u\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000\040\000n\000o\000n\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000z\000z\000a\000z\000i\000o\000n\000e) endobj 144 0 obj -<< /S /GoTo /D (subsection.2.2.1) >> +<< /S /GoTo /D (section.2.2) >> endobj 147 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e) endobj 148 0 obj -<< /S /GoTo /D (subsection.2.2.2) >> +<< /S /GoTo /D (subsection.2.2.1) >> endobj 151 0 obj -(\376\377\000L\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000X\000\040\000e\000\040\000c\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 152 0 obj -<< /S /GoTo /D (subsection.2.2.3) >> +<< /S /GoTo /D (subsection.2.2.2) >> endobj 155 0 obj -(\376\377\000U\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000,\000\040\000m\000e\000d\000e\000s\000i\000m\000a\000\040\000l\000e\000g\000g\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000L\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000X\000\040\000e\000\040\000c\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a) endobj 156 0 obj -<< /S /GoTo /D (subsection.2.2.4) >> +<< /S /GoTo /D (subsection.2.2.3) >> endobj 159 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000e\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000a\000\040\000m\000u\000l\000t\000i\000v\000a\000r\000i\000a\000t\000a\000,\000\040\000l\000e\000g\000g\000i\000\040\000c\000o\000n\000g\000i\000u\000n\000t\000e\000\040\000e\000\040\000m\000a\000r\000g\000i\000n\000a\000l\000i) +(\376\377\000U\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000,\000\040\000m\000e\000d\000e\000s\000i\000m\000a\000\040\000l\000e\000g\000g\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 160 0 obj -<< /S /GoTo /D (subsection.2.2.5) >> +<< /S /GoTo /D (subsection.2.2.4) >> endobj 163 0 obj -(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000n\000g\000i\000u\000n\000z\000i\000o\000n\000e\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000e\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000a\000\040\000m\000u\000l\000t\000i\000v\000a\000r\000i\000a\000t\000a\000,\000\040\000l\000e\000g\000g\000i\000\040\000c\000o\000n\000g\000i\000u\000n\000t\000e\000\040\000e\000\040\000m\000a\000r\000g\000i\000n\000a\000l\000i) endobj 164 0 obj -<< /S /GoTo /D (section.2.3) >> +<< /S /GoTo /D (subsection.2.2.5) >> endobj 167 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000m\000e\000n\000t\000i) +(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000n\000g\000i\000u\000n\000z\000i\000o\000n\000e\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 168 0 obj -<< /S /GoTo /D (subsection.2.3.1) >> +<< /S /GoTo /D (section.2.3) >> endobj 171 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000s\000u\000\040\000v\000.\000a\000.\000\040\000i\000n\000t\000e\000g\000r\000a\000b\000i\000l\000i\000\040\000e\000/\000o\000\040\000n\000o\000n\000\040\000n\000e\000g\000a\000t\000i\000v\000e) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000m\000e\000n\000t\000i) endobj 172 0 obj -<< /S /GoTo /D (subsection.2.3.2) >> +<< /S /GoTo /D (subsection.2.3.1) >> endobj 175 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000l\000t\000i\000p\000l\000i\000c\000a\000t\000i\000v\000i\000t\000\340\000\040\000p\000e\000r\000\040\000v\000.\000a\000.\000\040\000i\000n\000d\000i\000p\000e\000n\000d\000e\000n\000t\000i) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000s\000u\000\040\000v\000.\000a\000.\000\040\000i\000n\000t\000e\000g\000r\000a\000b\000i\000l\000i\000\040\000e\000/\000o\000\040\000n\000o\000n\000\040\000n\000e\000g\000a\000t\000i\000v\000e) endobj 176 0 obj -<< /S /GoTo /D (subsection.2.3.3) >> +<< /S /GoTo /D (subsection.2.3.2) >> endobj 179 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000l\000e) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000l\000t\000i\000p\000l\000i\000c\000a\000t\000i\000v\000i\000t\000\340\000\040\000p\000e\000r\000\040\000v\000.\000a\000.\000\040\000i\000n\000d\000i\000p\000e\000n\000d\000e\000n\000t\000i) endobj 180 0 obj -<< /S /GoTo /D (subsection.2.3.4) >> +<< /S /GoTo /D (subsection.2.3.3) >> endobj 183 0 obj -(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000\050\000a\000s\000s\000o\000l\000u\000t\000i\000\051\000\040\000n\000-\000e\000s\000i\000m\000i) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000l\000e) endobj 184 0 obj -<< /S /GoTo /D (subsection.2.3.5) >> +<< /S /GoTo /D (subsection.2.3.4) >> endobj 187 0 obj -(\376\377\000D\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000M\000a\000r\000k\000o\000v\000,\000\040\000d\000i\000\040\000H\000\366\000l\000d\000e\000r\000,\000\040\000d\000i\000\040\000C\000a\000u\000c\000h\000y\000-\000S\000c\000h\000w\000a\000r\000z\000\040\000e\000\040\000d\000i\000\040\000J\000e\000n\000s\000e\000n) +(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000\050\000a\000s\000s\000o\000l\000u\000t\000i\000\051\000\040\000n\000-\000e\000s\000i\000m\000i) endobj 188 0 obj -<< /S /GoTo /D (section.2.4) >> +<< /S /GoTo /D (subsection.2.3.5) >> endobj 191 0 obj -(\376\377\000A\000l\000t\000r\000i\000\040\000i\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000:\000\040\000m\000o\000d\000a\000\040\000e\000\040\000m\000e\000d\000i\000a\000n\000a) +(\376\377\000D\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000M\000a\000r\000k\000o\000v\000,\000\040\000d\000i\000\040\000H\000\366\000l\000d\000e\000r\000,\000\040\000d\000i\000\040\000C\000a\000u\000c\000h\000y\000-\000S\000c\000h\000w\000a\000r\000z\000\040\000e\000\040\000d\000i\000\040\000J\000e\000n\000s\000e\000n) endobj 192 0 obj -<< /S /GoTo /D (section.2.5) >> +<< /S /GoTo /D (section.2.4) >> endobj 195 0 obj -(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000:\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000\040\000e\000\040\000c\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e) +(\376\377\000A\000l\000t\000r\000i\000\040\000i\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000:\000\040\000m\000o\000d\000a\000\040\000e\000\040\000m\000e\000d\000i\000a\000n\000a) endobj 196 0 obj -<< /S /GoTo /D (subsection.2.5.1) >> +<< /S /GoTo /D (section.2.5) >> endobj 199 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000c\000o\000m\000e\000\040\000f\000o\000r\000m\000a\000\040\000b\000i\000l\000i\000n\000e\000a\000r\000e\000\040\000s\000i\000m\000m\000e\000t\000r\000i\000c\000a) +(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000:\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000\040\000e\000\040\000c\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e) endobj 200 0 obj -<< /S /GoTo /D (subsection.2.5.2) >> +<< /S /GoTo /D (subsection.2.5.1) >> endobj 203 0 obj -(\376\377\000I\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000\050\000c\000o\000\051\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000C\000h\000e\000b\000y\000s\000h\000e\000v) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000c\000o\000m\000e\000\040\000f\000o\000r\000m\000a\000\040\000b\000i\000l\000i\000n\000e\000a\000r\000e\000\040\000s\000i\000m\000m\000e\000t\000r\000i\000c\000a) endobj 204 0 obj -<< /S /GoTo /D (subsection.2.5.3) >> +<< /S /GoTo /D (subsection.2.5.2) >> endobj 207 0 obj -(\376\377\000C\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000e\000t\000t\000a\000\040\000d\000i\000\040\000r\000e\000g\000r\000e\000s\000s\000i\000o\000n\000e\000\040\000l\000i\000n\000e\000a\000r\000e) +(\376\377\000I\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000\050\000c\000o\000\051\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000C\000h\000e\000b\000y\000s\000h\000e\000v) endobj 208 0 obj -<< /S /GoTo /D (section.2.6) >> +<< /S /GoTo /D (subsection.2.5.3) >> endobj 211 0 obj -(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051\000,\000\040\000m\000e\000d\000i\000a\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000a\000\040\000e\000\040\000l\000i\000m\000i\000t\000e\000\040\000i\000n\000\040\000s\000e\000n\000s\000o\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000o) +(\376\377\000C\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000e\000t\000t\000a\000\040\000d\000i\000\040\000r\000e\000g\000r\000e\000s\000s\000i\000o\000n\000e\000\040\000l\000i\000n\000e\000a\000r\000e) endobj 212 0 obj -<< /S /GoTo /D (subsection.2.6.1) >> +<< /S /GoTo /D (section.2.6) >> endobj 215 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000d\000\040\000e\000n\000u\000n\000c\000i\000a\000t\000o) +(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051\000,\000\040\000m\000e\000d\000i\000a\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000a\000\040\000e\000\040\000l\000i\000m\000i\000t\000e\000\040\000i\000n\000\040\000s\000e\000n\000s\000o\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000o) endobj 216 0 obj -<< /S /GoTo /D (subsection.2.6.2) >> +<< /S /GoTo /D (subsection.2.6.1) >> endobj 219 0 obj -(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000t\000a\000\040\000d\000i\000\040\000C\000r\000a\000m\000e\000r\000\040\000p\000e\000r\000\040\000l\000'\000o\000t\000t\000i\000m\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000s\000t\000i\000m\000a) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000d\000\040\000e\000n\000u\000n\000c\000i\000a\000t\000o) endobj 220 0 obj -<< /S /GoTo /D (section.2.7) >> +<< /S /GoTo /D (subsection.2.6.2) >> endobj 223 0 obj -(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) +(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000t\000a\000\040\000d\000i\000\040\000C\000r\000a\000m\000e\000r\000\040\000p\000e\000r\000\040\000l\000'\000o\000t\000t\000i\000m\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000s\000t\000i\000m\000a) endobj 224 0 obj -<< /S /GoTo /D (subsection.2.7.1) >> +<< /S /GoTo /D (section.2.7) >> endobj 227 0 obj -(\376\377\000I\000n\000t\000u\000i\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000\040\000T\000C\000L\000:\000\040\000z\000o\000o\000m\000-\000i\000n\000\040\000e\000\040\000s\000c\000a\000l\000i\000n\000g) +(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) endobj 228 0 obj -<< /S /GoTo /D (subsection.2.7.2) >> +<< /S /GoTo /D (subsection.2.7.1) >> endobj 231 0 obj -(\376\377\000E\000n\000u\000n\000c\000i\000a\000t\000o\000\040\000d\000e\000l\000\040\000T\000C\000L\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000D\000e\000\040\000M\000o\000i\000v\000r\000e\000-\000L\000a\000p\000l\000a\000c\000e\000\040\000p\000e\000r\000\040\000l\000a\000\040\000d\000i\000s\000t\000r\000.\000\040\000b\000i\000n\000o\000m\000i\000a\000l\000e) +(\376\377\000I\000n\000t\000u\000i\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000\040\000T\000C\000L\000:\000\040\000z\000o\000o\000m\000-\000i\000n\000\040\000e\000\040\000s\000c\000a\000l\000i\000n\000g) endobj 232 0 obj -<< /S /GoTo /D (section.2.8) >> +<< /S /GoTo /D (subsection.2.7.2) >> endobj 235 0 obj -(\376\377\000M\000o\000d\000e\000l\000l\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000i\000\040\000c\000l\000a\000s\000s\000i\000c\000i) +(\376\377\000E\000n\000u\000n\000c\000i\000a\000t\000o\000\040\000d\000e\000l\000\040\000T\000C\000L\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000D\000e\000\040\000M\000o\000i\000v\000r\000e\000-\000L\000a\000p\000l\000a\000c\000e\000\040\000p\000e\000r\000\040\000l\000a\000\040\000d\000i\000s\000t\000r\000.\000\040\000b\000i\000n\000o\000m\000i\000a\000l\000e) endobj 236 0 obj -<< /S /GoTo /D (subsection.2.8.1) >> +<< /S /GoTo /D (section.2.8) >> endobj 239 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000u\000n\000i\000f\000o\000r\000m\000e) +(\376\377\000M\000o\000d\000e\000l\000l\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000i\000\040\000c\000l\000a\000s\000s\000i\000c\000i) endobj 240 0 obj -<< /S /GoTo /D (subsection.2.8.2) >> +<< /S /GoTo /D (subsection.2.8.1) >> endobj 243 0 obj -(\376\377\000S\000e\000q\000u\000e\000n\000z\000e\000\040\000d\000i\000\040\000e\000s\000p\000e\000r\000i\000m\000e\000n\000t\000i\000\040\000e\000\040\000m\000o\000d\000e\000l\000l\000o\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000v\000e\000\040\000r\000i\000p\000e\000t\000u\000t\000e\000\040\000d\000i\000\040\000B\000e\000r\000n\000o\000u\000l\000l\000i) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000u\000n\000i\000f\000o\000r\000m\000e) endobj 244 0 obj -<< /S /GoTo /D (chapter.3) >> +<< /S /GoTo /D (subsection.2.8.2) >> endobj 247 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000r\000e\000t\000t\000a\000\040\000r\000e\000a\000l\000e) +(\376\377\000S\000e\000q\000u\000e\000n\000z\000e\000\040\000d\000i\000\040\000e\000s\000p\000e\000r\000i\000m\000e\000n\000t\000i\000\040\000e\000\040\000m\000o\000d\000e\000l\000l\000o\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000v\000e\000\040\000r\000i\000p\000e\000t\000u\000t\000e\000\040\000d\000i\000\040\000B\000e\000r\000n\000o\000u\000l\000l\000i) endobj 248 0 obj -<< /S /GoTo /D (section.3.1) >> +<< /S /GoTo /D (chapter.3) >> endobj 251 0 obj -(\376\377\000C\000e\000n\000n\000i\000\040\000d\000i\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000r\000e\000t\000t\000a\000\040\000r\000e\000a\000l\000e) endobj 252 0 obj -<< /S /GoTo /D (subsection.3.1.1) >> +<< /S /GoTo /D (section.3.1) >> endobj 255 0 obj -(\376\377\000L\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000d\000i\000\040\000B\000o\000r\000e\000l\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000b\000o\000r\000e\000l\000i\000a\000n\000e) +(\376\377\000C\000e\000n\000n\000i\000\040\000d\000i\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 256 0 obj -<< /S /GoTo /D (subsection.3.1.2) >> +<< /S /GoTo /D (subsection.3.1.1) >> endobj 259 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000m\000i\000s\000u\000r\000a\000,\000\040\003\300\000-\000s\000i\000s\000t\000e\000m\000i\000\040\000p\000e\000r\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000\040\000e\000\040\000l\000e\000m\000m\000a\000\040\000d\000i\000\040\000D\000y\000n\000k\000i\000n) +(\376\377\000L\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000d\000i\000\040\000B\000o\000r\000e\000l\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000b\000o\000r\000e\000l\000i\000a\000n\000e) endobj 260 0 obj -<< /S /GoTo /D (subsection.3.1.3) >> +<< /S /GoTo /D (subsection.3.1.2) >> endobj 263 0 obj -(\376\377\000L\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000d\000i\000\040\000L\000e\000b\000e\000s\000g\000u\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000m\000i\000s\000u\000r\000a\000,\000\040\003\300\000-\000s\000i\000s\000t\000e\000m\000i\000\040\000p\000e\000r\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000\040\000e\000\040\000l\000e\000m\000m\000a\000\040\000d\000i\000\040\000D\000y\000n\000k\000i\000n) endobj 264 0 obj -<< /S /GoTo /D (section.3.2) >> +<< /S /GoTo /D (subsection.3.1.3) >> endobj 267 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e\000,\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000r\000i\000p\000a\000r\000t\000i\000z\000i\000o\000n\000e\000\040\000\050\000f\000.\000d\000.\000r\000.\000\051\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340) +(\376\377\000L\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000d\000i\000\040\000L\000e\000b\000e\000s\000g\000u\000e) endobj 268 0 obj -<< /S /GoTo /D (subsection.3.2.1) >> +<< /S /GoTo /D (section.3.2) >> endobj 271 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e\000,\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000r\000i\000p\000a\000r\000t\000i\000z\000i\000o\000n\000e\000\040\000\050\000f\000.\000d\000.\000r\000.\000\051\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340) endobj 272 0 obj -<< /S /GoTo /D (subsection.3.2.2) >> +<< /S /GoTo /D (subsection.3.2.1) >> endobj 275 0 obj -(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000a\000\040\000t\000r\000a\000\040\000f\000.\000d\000.\000r\000.\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000,\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000P\000\040\000t\000r\000a\000m\000i\000t\000e\000\040\000F\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000t\000i\000n\000u\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) endobj 276 0 obj -<< /S /GoTo /D (section.3.3) >> +<< /S /GoTo /D (subsection.3.2.2) >> endobj 279 0 obj -(\376\377\000C\000l\000a\000s\000s\000i\000\040\000p\000r\000i\000n\000c\000i\000p\000a\000l\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e) +(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000a\000\040\000t\000r\000a\000\040\000f\000.\000d\000.\000r\000.\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000,\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000P\000\040\000t\000r\000a\000m\000i\000t\000e\000\040\000F\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000t\000i\000n\000u\000e) endobj 280 0 obj -<< /S /GoTo /D (section.3.4) >> +<< /S /GoTo /D (section.3.3) >> endobj 283 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000a\000p\000p\000r\000e\000s\000e\000n\000t\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) +(\376\377\000C\000l\000a\000s\000s\000i\000\040\000p\000r\000i\000n\000c\000i\000p\000a\000l\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e) endobj 284 0 obj -<< /S /GoTo /D (section.3.5) >> +<< /S /GoTo /D (section.3.4) >> endobj 287 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000a\000s\000s\000o\000l\000u\000t\000a\000m\000e\000n\000t\000e\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000\050\000A\000C\000\051) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000a\000p\000p\000r\000e\000s\000e\000n\000t\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) endobj 288 0 obj -<< /S /GoTo /D (subsection.3.5.1) >> +<< /S /GoTo /D (section.3.5) >> endobj 291 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000A\000C\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000a\000s\000s\000o\000l\000u\000t\000a\000m\000e\000n\000t\000e\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000\050\000A\000C\000\051) endobj 292 0 obj -<< /S /GoTo /D (subsection.3.5.2) >> +<< /S /GoTo /D (subsection.3.5.1) >> endobj 295 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000e\000\040\000c\000a\000r\000a\000t\000t\000e\000r\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000d\000e\000n\000s\000i\000t\000\340) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000A\000C\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340) endobj 296 0 obj -<< /S /GoTo /D (section.3.6) >> +<< /S /GoTo /D (subsection.3.5.2) >> endobj 299 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000e\000\040\000c\000a\000r\000a\000t\000t\000e\000r\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000d\000e\000n\000s\000i\000t\000\340) endobj 300 0 obj -<< /S /GoTo /D (subsection.3.6.1) >> +<< /S /GoTo /D (section.3.6) >> endobj 303 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000l\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.) +(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) endobj 304 0 obj -<< /S /GoTo /D (subsection.3.6.2) >> +<< /S /GoTo /D (subsection.3.6.1) >> endobj 307 0 obj -(\376\377\000F\000.\000d\000.\000r\000.\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000r\000e\000a\000l\000e\000,\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000,\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000e\000\040\000A\000C) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000l\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.) endobj 308 0 obj -<< /S /GoTo /D (subsection.3.6.3) >> +<< /S /GoTo /D (subsection.3.6.2) >> endobj 311 0 obj -(\376\377\000C\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.) +(\376\377\000F\000.\000d\000.\000r\000.\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000r\000e\000a\000l\000e\000,\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000,\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000e\000\040\000A\000C) endobj 312 0 obj -<< /S /GoTo /D (subsection.3.6.4) >> +<< /S /GoTo /D (subsection.3.6.3) >> endobj 315 0 obj -(\376\377\000C\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a\000,\000\040\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000\040\000e\000\040\000i\000n\000\040\000l\000e\000g\000g\000e) +(\376\377\000C\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.) endobj 316 0 obj -<< /S /GoTo /D (section.3.7) >> +<< /S /GoTo /D (subsection.3.6.4) >> endobj 319 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000m\000e\000\040\000i\000n\000t\000e\000g\000r\000a\000l\000e\000\040\000s\000e\000c\000o\000n\000d\000o\000\040\000l\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000P) +(\376\377\000C\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a\000,\000\040\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000\040\000e\000\040\000i\000n\000\040\000l\000e\000g\000g\000e) endobj 320 0 obj -<< /S /GoTo /D (subsection.3.7.1) >> +<< /S /GoTo /D (section.3.7) >> endobj 323 0 obj -(\376\377\000C\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000'\000i\000n\000t\000e\000g\000r\000a\000l\000e\000\040\000s\000e\000c\000o\000n\000d\000o\000\040\000l\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000P) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000m\000e\000\040\000i\000n\000t\000e\000g\000r\000a\000l\000e\000\040\000s\000e\000c\000o\000n\000d\000o\000\040\000l\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000P) endobj 324 0 obj -<< /S /GoTo /D (subsection.3.7.2) >> +<< /S /GoTo /D (subsection.3.7.1) >> endobj 327 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000t\000e\000o\000r\000e\000m\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000t\000i) +(\376\377\000C\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000'\000i\000n\000t\000e\000g\000r\000a\000l\000e\000\040\000s\000e\000c\000o\000n\000d\000o\000\040\000l\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000P) endobj 328 0 obj -<< /S /GoTo /D (subsection.3.7.3) >> +<< /S /GoTo /D (subsection.3.7.2) >> endobj 331 0 obj -(\376\377\000C\000a\000l\000c\000o\000l\000o\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000t\000e\000o\000r\000e\000m\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000t\000i) endobj 332 0 obj -<< /S /GoTo /D (section.3.8) >> +<< /S /GoTo /D (subsection.3.7.3) >> endobj 335 0 obj -(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000e\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000,\000\040\000m\000e\000d\000i\000a\000n\000a\000\040\000e\000\040\000m\000o\000d\000a) +(\376\377\000C\000a\000l\000c\000o\000l\000o\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o) endobj 336 0 obj -<< /S /GoTo /D (section.3.9) >> +<< /S /GoTo /D (section.3.8) >> endobj 339 0 obj -(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000z\000i\000o\000n\000i\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e) +(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000e\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000,\000\040\000m\000e\000d\000i\000a\000n\000a\000\040\000e\000\040\000m\000o\000d\000a) endobj 340 0 obj -<< /S /GoTo /D (subsection.3.9.1) >> +<< /S /GoTo /D (section.3.9) >> endobj 343 0 obj -(\376\377\000S\000t\000a\000n\000d\000a\000r\000d\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000i\000p\000r\000o\000d\000u\000c\000i\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000g\000a\000u\000s\000s\000i\000a\000n\000e) +(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000z\000i\000o\000n\000i\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e) endobj 344 0 obj -<< /S /GoTo /D (section.3.10) >> +<< /S /GoTo /D (subsection.3.9.1) >> endobj 347 0 obj -(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051) +(\376\377\000S\000t\000a\000n\000d\000a\000r\000d\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000i\000p\000r\000o\000d\000u\000c\000i\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000g\000a\000u\000s\000s\000i\000a\000n\000e) endobj 348 0 obj -<< /S /GoTo /D (subsection.3.10.1) >> +<< /S /GoTo /D (section.3.10) >> endobj 351 0 obj -(\376\377\000M\000e\000t\000o\000d\000o\000\040\000d\000i\000\040\000M\000o\000n\000t\000e\000-\000C\000a\000r\000l\000o\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000i\000n\000t\000e\000g\000r\000a\000l\000i) +(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051) endobj 352 0 obj -<< /S /GoTo /D (section.3.11) >> +<< /S /GoTo /D (subsection.3.10.1) >> endobj 355 0 obj -(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) +(\376\377\000M\000e\000t\000o\000d\000o\000\040\000d\000i\000\040\000M\000o\000n\000t\000e\000-\000C\000a\000r\000l\000o\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000i\000n\000t\000e\000g\000r\000a\000l\000i) endobj 356 0 obj -<< /S /GoTo /D (chapter.4) >> +<< /S /GoTo /D (section.3.11) >> endobj 359 0 obj -(\376\377\000S\000t\000a\000t\000i\000s\000t\000i\000c\000a\000\040\000i\000n\000f\000e\000r\000e\000n\000z\000i\000a\000l\000e) +(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) endobj 360 0 obj -<< /S /GoTo /D (section.4.1) >> +<< /S /GoTo /D (chapter.4) >> endobj 363 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) +(\376\377\000S\000t\000a\000t\000i\000s\000t\000i\000c\000a\000\040\000i\000n\000f\000e\000r\000e\000n\000z\000i\000a\000l\000e) endobj 364 0 obj -<< /S /GoTo /D (subsection.4.1.1) >> +<< /S /GoTo /D (section.4.1) >> endobj 367 0 obj -(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000\040\000e\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000\040\000s\000u\000i\000\040\000s\000i\000n\000g\000o\000l\000i\000\040\000d\000a\000t\000i) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) endobj 368 0 obj -<< /S /GoTo /D (subsection.4.1.2) >> +<< /S /GoTo /D (subsection.4.1.1) >> endobj 371 0 obj -(\376\377\000I\000n\000d\000i\000c\000i\000\040\000s\000u\000\040\000c\000o\000p\000p\000i\000e\000\040\000d\000i\000\040\000d\000a\000t\000i) +(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000\040\000e\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000\040\000s\000u\000i\000\040\000s\000i\000n\000g\000o\000l\000i\000\040\000d\000a\000t\000i) endobj 372 0 obj -<< /S /GoTo /D (section.4.2) >> +<< /S /GoTo /D (subsection.4.1.2) >> endobj 375 0 obj -(\376\377\000M\000o\000d\000e\000l\000l\000o\000\040\000s\000t\000a\000t\000i\000s\000t\000i\000c\000o) +(\376\377\000I\000n\000d\000i\000c\000i\000\040\000s\000u\000\040\000c\000o\000p\000p\000i\000e\000\040\000d\000i\000\040\000d\000a\000t\000i) endobj 376 0 obj -<< /S /GoTo /D (section.4.3) >> +<< /S /GoTo /D (section.4.2) >> endobj 379 0 obj -(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000s\000t\000i\000m\000a\000t\000o\000r\000i\000\040\000s\000u\000\040\000c\000a\000m\000p\000i\000o\000n\000i\000\040\000d\000i\000\040\000t\000a\000g\000l\000i\000a\000\040\000n) +(\376\377\000M\000o\000d\000e\000l\000l\000o\000\040\000s\000t\000a\000t\000i\000s\000t\000i\000c\000o) endobj 380 0 obj -<< /S /GoTo /D (subsection.4.3.1) >> +<< /S /GoTo /D (section.4.3) >> endobj 383 0 obj -(\376\377\000C\000a\000m\000p\000i\000o\000n\000e\000,\000\040\000s\000t\000a\000t\000i\000s\000t\000i\000c\000a\000\040\000e\000\040\000s\000t\000i\000m\000a\000t\000o\000r\000e) +(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000s\000t\000i\000m\000a\000t\000o\000r\000i\000\040\000s\000u\000\040\000c\000a\000m\000p\000i\000o\000n\000i\000\040\000d\000i\000\040\000t\000a\000g\000l\000i\000a\000\040\000n) endobj 384 0 obj -<< /S /GoTo /D (subsection.4.3.2) >> +<< /S /GoTo /D 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(theorem.1.4) 616 0 R (theorem.1.40) 682 0 R] -/Limits [(theorem.1.36) (theorem.1.40)] +/Names [(subsection.2.1.2) 137 0 R (subsection.2.1.3) 141 0 R (subsection.2.2.1) 149 0 R (subsection.2.2.2) 153 0 R (subsection.2.2.3) 157 0 R (subsection.2.2.4) 161 0 R] +/Limits [(subsection.2.1.2) (subsection.2.2.4)] >> endobj 1212 0 obj << -/Names [(theorem.1.41) 683 0 R (theorem.1.42) 684 0 R (theorem.1.43) 685 0 R (theorem.1.44) 686 0 R (theorem.1.45) 687 0 R (theorem.1.46) 688 0 R] -/Limits [(theorem.1.41) (theorem.1.46)] +/Names [(subsection.2.2.5) 165 0 R (subsection.2.3.1) 173 0 R (subsection.2.3.2) 177 0 R (subsection.2.3.3) 181 0 R (subsection.2.3.4) 185 0 R (subsection.2.3.5) 189 0 R] +/Limits [(subsection.2.2.5) (subsection.2.3.5)] >> endobj 1213 0 obj << -/Names [(theorem.1.47) 689 0 R (theorem.1.5) 617 0 R (theorem.1.6) 618 0 R (theorem.1.7) 619 0 R (theorem.1.8) 620 0 R (theorem.1.9) 621 0 R] -/Limits [(theorem.1.47) (theorem.1.9)] +/Names [(subsection.2.5.1) 201 0 R 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(subsection.3.6.1) 305 0 R] +/Limits [(subsection.3.10.1) (subsection.3.6.1)] >> endobj 1216 0 obj << -/Names [(theorem.2.12) 708 0 R (theorem.2.13) 714 0 R (theorem.2.14) 715 0 R (theorem.2.15) 716 0 R (theorem.2.16) 717 0 R (theorem.2.17) 718 0 R] -/Limits [(theorem.2.12) (theorem.2.17)] +/Names [(subsection.3.6.2) 309 0 R (subsection.3.6.3) 313 0 R (subsection.3.6.4) 317 0 R (subsection.3.7.1) 325 0 R (subsection.3.7.2) 329 0 R (subsection.3.7.3) 333 0 R] +/Limits [(subsection.3.6.2) (subsection.3.7.3)] >> endobj 1217 0 obj << -/Names [(theorem.2.18) 719 0 R (theorem.2.19) 720 0 R (theorem.2.2) 696 0 R (theorem.2.20) 721 0 R (theorem.2.21) 722 0 R (theorem.2.22) 723 0 R] -/Limits [(theorem.2.18) (theorem.2.22)] +/Names [(subsection.3.9.1) 345 0 R (subsection.4.1.1) 369 0 R (subsection.4.1.2) 373 0 R (subsection.4.3.1) 385 0 R (subsection.4.3.2) 389 0 R (subsection.4.3.3) 393 0 R] +/Limits [(subsection.3.9.1) (subsection.4.3.3)] >> endobj 1218 0 obj << -/Names [(theorem.2.23) 724 0 R (theorem.2.24) 725 0 R (theorem.2.25) 726 0 R (theorem.2.26) 727 0 R (theorem.2.27) 734 0 R (theorem.2.28) 735 0 R] -/Limits [(theorem.2.23) (theorem.2.28)] +/Names [(subsection.4.3.4) 397 0 R (subsection.4.3.5) 401 0 R (table.4.1) 882 0 R (theorem.1.1) 619 0 R (theorem.1.10) 631 0 R (theorem.1.11) 632 0 R] +/Limits [(subsection.4.3.4) (theorem.1.11)] >> endobj 1219 0 obj << -/Names [(theorem.2.29) 736 0 R (theorem.2.3) 699 0 R (theorem.2.30) 737 0 R (theorem.2.31) 738 0 R (theorem.2.32) 739 0 R (theorem.2.33) 740 0 R] -/Limits [(theorem.2.29) (theorem.2.33)] +/Names [(theorem.1.12) 640 0 R (theorem.1.13) 641 0 R (theorem.1.14) 645 0 R (theorem.1.15) 646 0 R (theorem.1.16) 655 0 R (theorem.1.17) 656 0 R] +/Limits [(theorem.1.12) (theorem.1.17)] >> endobj 1220 0 obj << -/Names [(theorem.2.34) 741 0 R (theorem.2.35) 742 0 R (theorem.2.36) 743 0 R (theorem.2.37) 744 0 R (theorem.2.38) 746 0 R (theorem.2.39) 747 0 R] -/Limits [(theorem.2.34) (theorem.2.39)] +/Names [(theorem.1.18) 659 0 R (theorem.1.19) 660 0 R (theorem.1.2) 620 0 R (theorem.1.20) 661 0 R (theorem.1.21) 662 0 R (theorem.1.22) 663 0 R] +/Limits [(theorem.1.18) (theorem.1.22)] >> endobj 1221 0 obj << -/Names [(theorem.2.4) 700 0 R (theorem.2.40) 748 0 R (theorem.2.41) 749 0 R (theorem.2.42) 756 0 R (theorem.2.43) 757 0 R (theorem.2.44) 758 0 R] -/Limits [(theorem.2.4) (theorem.2.44)] +/Names [(theorem.1.23) 664 0 R (theorem.1.24) 665 0 R (theorem.1.25) 666 0 R (theorem.1.26) 672 0 R (theorem.1.27) 673 0 R (theorem.1.28) 674 0 R] +/Limits [(theorem.1.23) (theorem.1.28)] >> endobj 1222 0 obj << -/Names [(theorem.2.45) 759 0 R (theorem.2.46) 762 0 R (theorem.2.47) 763 0 R (theorem.2.48) 764 0 R (theorem.2.49) 765 0 R (theorem.2.5) 701 0 R] -/Limits [(theorem.2.45) (theorem.2.5)] +/Names [(theorem.1.29) 675 0 R (theorem.1.3) 621 0 R (theorem.1.30) 676 0 R (theorem.1.31) 677 0 R (theorem.1.32) 678 0 R (theorem.1.33) 679 0 R] +/Limits [(theorem.1.29) (theorem.1.33)] >> endobj 1223 0 obj << -/Names [(theorem.2.50) 766 0 R (theorem.2.51) 767 0 R (theorem.2.52) 768 0 R (theorem.2.53) 771 0 R (theorem.2.54) 779 0 R (theorem.2.55) 786 0 R] -/Limits [(theorem.2.50) (theorem.2.55)] +/Names [(theorem.1.34) 680 0 R (theorem.1.35) 681 0 R (theorem.1.36) 682 0 R (theorem.1.37) 684 0 R (theorem.1.38) 685 0 R (theorem.1.39) 686 0 R] +/Limits [(theorem.1.34) (theorem.1.39)] >> endobj 1224 0 obj << -/Names [(theorem.2.56) 787 0 R (theorem.2.57) 788 0 R (theorem.2.58) 789 0 R (theorem.2.59) 790 0 R (theorem.2.6) 702 0 R (theorem.2.60) 791 0 R] -/Limits [(theorem.2.56) (theorem.2.60)] +/Names [(theorem.1.4) 625 0 R (theorem.1.40) 692 0 R (theorem.1.41) 693 0 R (theorem.1.42) 694 0 R (theorem.1.43) 695 0 R (theorem.1.44) 696 0 R] +/Limits [(theorem.1.4) (theorem.1.44)] >> endobj 1225 0 obj << -/Names [(theorem.2.61) 792 0 R (theorem.2.62) 793 0 R (theorem.2.63) 794 0 R (theorem.2.64) 795 0 R (theorem.2.65) 796 0 R (theorem.2.66) 797 0 R] -/Limits [(theorem.2.61) (theorem.2.66)] +/Names [(theorem.1.45) 697 0 R (theorem.1.46) 698 0 R (theorem.1.47) 699 0 R (theorem.1.5) 626 0 R (theorem.1.6) 627 0 R (theorem.1.7) 628 0 R] +/Limits [(theorem.1.45) (theorem.1.7)] >> endobj 1226 0 obj << -/Names [(theorem.2.67) 805 0 R (theorem.2.68) 806 0 R (theorem.2.69) 807 0 R (theorem.2.7) 703 0 R (theorem.2.70) 808 0 R (theorem.2.71) 809 0 R] -/Limits [(theorem.2.67) (theorem.2.71)] +/Names [(theorem.1.8) 629 0 R (theorem.1.9) 630 0 R (theorem.2.1) 704 0 R (theorem.2.10) 715 0 R (theorem.2.100) 863 0 R (theorem.2.101) 864 0 R] +/Limits [(theorem.1.8) (theorem.2.101)] >> endobj 1227 0 obj << -/Names [(theorem.2.72) 810 0 R (theorem.2.73) 811 0 R (theorem.2.74) 812 0 R (theorem.2.75) 813 0 R (theorem.2.76) 814 0 R (theorem.2.77) 815 0 R] -/Limits [(theorem.2.72) (theorem.2.77)] +/Names [(theorem.2.102) 873 0 R (theorem.2.103) 875 0 R (theorem.2.104) 876 0 R (theorem.2.105) 877 0 R (theorem.2.106) 878 0 R (theorem.2.107) 879 0 R] +/Limits [(theorem.2.102) (theorem.2.107)] >> endobj 1228 0 obj << -/Names [(theorem.2.78) 816 0 R (theorem.2.79) 817 0 R (theorem.2.8) 704 0 R (theorem.2.80) 818 0 R (theorem.2.81) 819 0 R (theorem.2.82) 829 0 R] -/Limits [(theorem.2.78) (theorem.2.82)] +/Names [(theorem.2.108) 880 0 R (theorem.2.11) 716 0 R (theorem.2.12) 717 0 R (theorem.2.13) 723 0 R (theorem.2.14) 724 0 R (theorem.2.15) 725 0 R] +/Limits [(theorem.2.108) (theorem.2.15)] >> endobj 1229 0 obj << -/Names [(theorem.2.83) 830 0 R (theorem.2.84) 831 0 R (theorem.2.85) 832 0 R (theorem.2.86) 833 0 R (theorem.2.87) 834 0 R (theorem.2.88) 835 0 R] -/Limits [(theorem.2.83) (theorem.2.88)] +/Names [(theorem.2.16) 726 0 R (theorem.2.17) 727 0 R (theorem.2.18) 728 0 R (theorem.2.19) 729 0 R (theorem.2.2) 705 0 R (theorem.2.20) 730 0 R] +/Limits [(theorem.2.16) (theorem.2.20)] >> endobj 1230 0 obj << -/Names [(theorem.2.89) 836 0 R (theorem.2.9) 705 0 R (theorem.2.90) 837 0 R (theorem.2.91) 838 0 R (theorem.2.92) 841 0 R (theorem.2.93) 842 0 R] -/Limits [(theorem.2.89) (theorem.2.93)] +/Names [(theorem.2.21) 731 0 R (theorem.2.22) 732 0 R (theorem.2.23) 733 0 R (theorem.2.24) 734 0 R (theorem.2.25) 735 0 R (theorem.2.26) 736 0 R] +/Limits [(theorem.2.21) (theorem.2.26)] >> endobj 1231 0 obj << -/Names [(theorem.2.94) 843 0 R (theorem.2.95) 849 0 R (theorem.2.96) 850 0 R (theorem.2.97) 851 0 R (theorem.2.98) 852 0 R (theorem.2.99) 853 0 R] -/Limits [(theorem.2.94) (theorem.2.99)] +/Names [(theorem.2.27) 743 0 R (theorem.2.28) 744 0 R (theorem.2.29) 745 0 R (theorem.2.3) 708 0 R (theorem.2.30) 746 0 R (theorem.2.31) 747 0 R] +/Limits [(theorem.2.27) (theorem.2.31)] >> endobj 1232 0 obj << -/Names [(theorem.3.1) 883 0 R (theorem.3.10) 907 0 R (theorem.3.11) 914 0 R (theorem.3.12) 915 0 R (theorem.3.13) 918 0 R (theorem.3.14) 919 0 R] -/Limits [(theorem.3.1) (theorem.3.14)] +/Names [(theorem.2.32) 748 0 R (theorem.2.33) 749 0 R (theorem.2.34) 750 0 R (theorem.2.35) 751 0 R (theorem.2.36) 752 0 R (theorem.2.37) 753 0 R] +/Limits [(theorem.2.32) (theorem.2.37)] >> endobj 1233 0 obj << -/Names [(theorem.3.15) 920 0 R (theorem.3.16) 921 0 R (theorem.3.17) 922 0 R (theorem.3.18) 923 0 R (theorem.3.19) 924 0 R (theorem.3.2) 884 0 R] -/Limits [(theorem.3.15) (theorem.3.2)] +/Names [(theorem.2.38) 755 0 R (theorem.2.39) 756 0 R (theorem.2.4) 709 0 R (theorem.2.40) 757 0 R (theorem.2.41) 758 0 R (theorem.2.42) 765 0 R] +/Limits [(theorem.2.38) (theorem.2.42)] >> endobj 1234 0 obj << -/Names [(theorem.3.20) 925 0 R (theorem.3.21) 926 0 R (theorem.3.22) 939 0 R (theorem.3.23) 944 0 R (theorem.3.24) 945 0 R (theorem.3.25) 946 0 R] -/Limits [(theorem.3.20) (theorem.3.25)] +/Names [(theorem.2.43) 766 0 R (theorem.2.44) 767 0 R (theorem.2.45) 768 0 R (theorem.2.46) 771 0 R (theorem.2.47) 772 0 R (theorem.2.48) 773 0 R] +/Limits [(theorem.2.43) (theorem.2.48)] >> endobj 1235 0 obj << -/Names [(theorem.3.26) 947 0 R (theorem.3.27) 948 0 R (theorem.3.28) 949 0 R (theorem.3.29) 950 0 R (theorem.3.3) 888 0 R (theorem.3.30) 955 0 R] -/Limits [(theorem.3.26) (theorem.3.30)] +/Names [(theorem.2.49) 774 0 R (theorem.2.5) 710 0 R (theorem.2.50) 775 0 R (theorem.2.51) 776 0 R (theorem.2.52) 777 0 R (theorem.2.53) 780 0 R] +/Limits [(theorem.2.49) (theorem.2.53)] >> endobj 1236 0 obj << -/Names [(theorem.3.31) 956 0 R (theorem.3.32) 957 0 R (theorem.3.33) 958 0 R (theorem.3.34) 959 0 R (theorem.3.35) 960 0 R (theorem.3.36) 963 0 R] -/Limits [(theorem.3.31) (theorem.3.36)] +/Names [(theorem.2.54) 788 0 R (theorem.2.55) 795 0 R (theorem.2.56) 796 0 R (theorem.2.57) 797 0 R (theorem.2.58) 798 0 R (theorem.2.59) 799 0 R] +/Limits [(theorem.2.54) (theorem.2.59)] >> endobj 1237 0 obj << -/Names [(theorem.3.37) 966 0 R (theorem.3.38) 967 0 R (theorem.3.39) 968 0 R (theorem.3.4) 894 0 R (theorem.3.40) 969 0 R (theorem.3.41) 970 0 R] -/Limits [(theorem.3.37) (theorem.3.41)] +/Names [(theorem.2.6) 711 0 R (theorem.2.60) 800 0 R (theorem.2.61) 801 0 R (theorem.2.62) 802 0 R (theorem.2.63) 803 0 R (theorem.2.64) 804 0 R] +/Limits [(theorem.2.6) (theorem.2.64)] >> endobj 1238 0 obj << -/Names [(theorem.3.42) 971 0 R (theorem.3.43) 972 0 R (theorem.3.44) 973 0 R (theorem.3.45) 980 0 R (theorem.3.46) 981 0 R (theorem.3.47) 982 0 R] -/Limits [(theorem.3.42) (theorem.3.47)] +/Names [(theorem.2.65) 805 0 R (theorem.2.66) 806 0 R (theorem.2.67) 815 0 R (theorem.2.68) 816 0 R (theorem.2.69) 817 0 R (theorem.2.7) 712 0 R] +/Limits [(theorem.2.65) (theorem.2.7)] >> endobj 1239 0 obj << -/Names [(theorem.3.48) 983 0 R (theorem.3.49) 984 0 R (theorem.3.5) 895 0 R (theorem.3.50) 985 0 R (theorem.3.51) 986 0 R (theorem.3.52) 987 0 R] -/Limits [(theorem.3.48) (theorem.3.52)] +/Names [(theorem.2.70) 818 0 R (theorem.2.71) 819 0 R (theorem.2.72) 820 0 R (theorem.2.73) 821 0 R (theorem.2.74) 822 0 R (theorem.2.75) 823 0 R] +/Limits [(theorem.2.70) (theorem.2.75)] >> endobj 1240 0 obj << -/Names [(theorem.3.53) 988 0 R (theorem.3.54) 989 0 R (theorem.3.55) 990 0 R (theorem.3.56) 991 0 R (theorem.3.57) 992 0 R (theorem.3.58) 993 0 R] -/Limits [(theorem.3.53) (theorem.3.58)] +/Names [(theorem.2.76) 824 0 R (theorem.2.77) 825 0 R (theorem.2.78) 826 0 R (theorem.2.79) 827 0 R (theorem.2.8) 713 0 R (theorem.2.80) 828 0 R] +/Limits [(theorem.2.76) (theorem.2.80)] >> endobj 1241 0 obj << -/Names [(theorem.3.59) 994 0 R (theorem.3.6) 896 0 R (theorem.3.60) 995 0 R (theorem.3.61) 1002 0 R (theorem.3.62) 1003 0 R (theorem.3.63) 1004 0 R] -/Limits [(theorem.3.59) (theorem.3.63)] +/Names [(theorem.2.81) 829 0 R (theorem.2.82) 838 0 R (theorem.2.83) 839 0 R (theorem.2.84) 840 0 R (theorem.2.85) 841 0 R (theorem.2.86) 842 0 R] +/Limits [(theorem.2.81) (theorem.2.86)] >> endobj 1242 0 obj << -/Names [(theorem.3.64) 1005 0 R (theorem.3.65) 1009 0 R (theorem.3.66) 1010 0 R (theorem.3.67) 1011 0 R (theorem.3.68) 1012 0 R (theorem.3.69) 1013 0 R] -/Limits [(theorem.3.64) (theorem.3.69)] +/Names [(theorem.2.87) 843 0 R (theorem.2.88) 844 0 R (theorem.2.89) 845 0 R (theorem.2.9) 714 0 R (theorem.2.90) 846 0 R (theorem.2.91) 847 0 R] +/Limits [(theorem.2.87) (theorem.2.91)] >> endobj 1243 0 obj << -/Names [(theorem.3.7) 897 0 R (theorem.3.70) 1014 0 R (theorem.3.71) 1015 0 R (theorem.3.72) 1016 0 R (theorem.3.73) 1023 0 R (theorem.3.74) 1024 0 R] -/Limits [(theorem.3.7) (theorem.3.74)] +/Names [(theorem.2.92) 850 0 R (theorem.2.93) 851 0 R (theorem.2.94) 852 0 R (theorem.2.95) 858 0 R (theorem.2.96) 859 0 R (theorem.2.97) 860 0 R] +/Limits [(theorem.2.92) (theorem.2.97)] >> endobj 1244 0 obj << -/Names [(theorem.3.75) 1025 0 R (theorem.3.76) 1026 0 R (theorem.3.77) 1027 0 R (theorem.3.78) 1028 0 R (theorem.3.79) 1029 0 R (theorem.3.8) 903 0 R] -/Limits [(theorem.3.75) (theorem.3.8)] +/Names [(theorem.2.98) 861 0 R (theorem.2.99) 862 0 R (theorem.3.1) 892 0 R (theorem.3.10) 917 0 R (theorem.3.11) 924 0 R (theorem.3.12) 925 0 R] +/Limits [(theorem.2.98) (theorem.3.12)] >> endobj 1245 0 obj << -/Names [(theorem.3.9) 906 0 R (theorem.4.1) 1035 0 R (theorem.4.10) 1049 0 R (theorem.4.11) 1052 0 R (theorem.4.12) 1053 0 R (theorem.4.13) 1054 0 R] -/Limits [(theorem.3.9) (theorem.4.13)] +/Names [(theorem.3.13) 928 0 R (theorem.3.14) 929 0 R (theorem.3.15) 930 0 R (theorem.3.16) 931 0 R (theorem.3.17) 932 0 R (theorem.3.18) 933 0 R] +/Limits [(theorem.3.13) (theorem.3.18)] >> endobj 1246 0 obj << -/Names [(theorem.4.14) 1055 0 R (theorem.4.15) 1056 0 R (theorem.4.16) 1057 0 R (theorem.4.17) 1058 0 R (theorem.4.18) 1059 0 R (theorem.4.19) 1060 0 R] -/Limits [(theorem.4.14) (theorem.4.19)] +/Names [(theorem.3.19) 934 0 R (theorem.3.2) 893 0 R (theorem.3.20) 935 0 R (theorem.3.21) 936 0 R (theorem.3.22) 948 0 R (theorem.3.23) 953 0 R] +/Limits [(theorem.3.19) (theorem.3.23)] >> endobj 1247 0 obj << -/Names [(theorem.4.2) 1036 0 R (theorem.4.20) 1061 0 R (theorem.4.21) 1062 0 R (theorem.4.22) 1063 0 R (theorem.4.23) 1068 0 R (theorem.4.24) 1069 0 R] -/Limits [(theorem.4.2) (theorem.4.24)] +/Names [(theorem.3.24) 954 0 R (theorem.3.25) 955 0 R (theorem.3.26) 956 0 R (theorem.3.27) 957 0 R (theorem.3.28) 958 0 R (theorem.3.29) 959 0 R] +/Limits [(theorem.3.24) (theorem.3.29)] >> endobj 1248 0 obj << -/Names [(theorem.4.25) 1070 0 R (theorem.4.3) 1037 0 R (theorem.4.4) 1038 0 R (theorem.4.5) 1039 0 R (theorem.4.6) 1040 0 R (theorem.4.7) 1046 0 R] -/Limits [(theorem.4.25) (theorem.4.7)] +/Names [(theorem.3.3) 897 0 R (theorem.3.30) 964 0 R (theorem.3.31) 965 0 R (theorem.3.32) 966 0 R (theorem.3.33) 967 0 R (theorem.3.34) 968 0 R] +/Limits [(theorem.3.3) (theorem.3.34)] >> endobj 1249 0 obj << -/Names [(theorem.4.8) 1047 0 R (theorem.4.9) 1048 0 R] -/Limits [(theorem.4.8) (theorem.4.9)] +/Names [(theorem.3.35) 969 0 R (theorem.3.36) 972 0 R (theorem.3.37) 975 0 R (theorem.3.38) 976 0 R (theorem.3.39) 977 0 R (theorem.3.4) 903 0 R] +/Limits [(theorem.3.35) (theorem.3.4)] >> endobj 1250 0 obj << -/Kids [1170 0 R 1171 0 R 1172 0 R 1173 0 R 1174 0 R 1175 0 R] -/Limits [(Doc-Start) (Item.32)] +/Names [(theorem.3.40) 978 0 R (theorem.3.41) 979 0 R (theorem.3.42) 980 0 R (theorem.3.43) 981 0 R 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probabilità e statistica/sections/0-notazioni.tex index 0f2005c..8dfe350 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex @@ -231,10 +231,41 @@ regressione $y = a^*x + b^*$. \item $I(t)$ -- trasformata di Cramer. \item LGN - Legge dei Grandi Numeri. - \item TCL, TLC - Teorema Centrale del Limite. + \item TCL, TLC - Teorema Centrale del Limite (o Teorema del Limite Centrale). + \item $\overline{X}$, $\overline{X_n}$ -- media delle v.a.~$X_1$, ..., $X_n$, ovverosia $\frac{1}{n} \sum_{i=1}^n X_i$. \item $m$, $\sigma$ -- spesso nel contesto della LGN e del TCL si usa $m$ per indicare $\EE[X_1]$ e $\sigma$ per indicare $\sigma(X_1)$. + \item $Z$, $Z_1$ -- normale standard $N(0, 1)$- + \item $Z_\sigma$ -- normale $N(0, \sigma^2)$. + \end{itemize} + + \section*{Statistica inferenziale} + \addcontentsline{toc}{section}{Statistica inferenziale} + + \begin{itemize} + \item $x_1$, ..., $x_n$ -- dati statistici. + \item $\overline{x}$, $\overline{x_n}$ -- media campionaria dei dati $x_1$, ..., $x_n$, ovverosia $\frac{1}{n} \sum_{i=1}^n x_i$. + \item $\overline{X}$, $\overline{X_n}$ -- media campionaria delle v.a.~$X_1$, ..., $X_n$, ovverosia $\frac{1}{n} \sum_{i=1}^n X_i$. + \item $m_x$ -- mediana campionaria sui dati $x_1$, ..., $x_n$, ovverosia $x_{\nicefrac{n+1}{2}}$ se $n$ è dispari, oppure + $\nicefrac{\left(x_{\nicefrac{n}{2}} + x_{\nicefrac{(n+2)}{2}}\right)}{2}$ se $n$ è pari. + \item $s^2$, $s^2_x$, $\sigma_x^2$ -- varianza campionaria \textit{corretta}, ovverosia $\frac{1}{n-1} \sum_{i=1}^n (x_i - \overline{x})^2$; da + non confondersi con l'usuale varianza, che è invece $\frac{n-1}{n} s^2$. + \item $S^2$ -- varianza campionaria \textit{corretta} nelle v.a. $X_i$, ovverosia $\frac{1}{n-1} \sum_{i=1}^n (X_i - \overline{X})^2$. + \item $r$ -- coefficiente di correlazione campionaria, ovverosia $\frac{\sum_{i=1}^n \left(x_i - \overline{x}\right)\left(y_i - \overline{y}\right)}{\sqrt{\sum_{i=1}^n \left(x_i - \overline{x}\right)^2 \cdot \sum_{i=1}^n \left(y_i - \overline{y}\right)^2}}$. + \item $(S, \cS)$ -- spazio misurabile relativa alla statistica di studio. + \item $\Theta$ -- insieme dei possibili parametri per la distribuzione di probabilità sui dati $x_1$, ..., $x_n$. + \item $Q_\theta$ -- probabilità ottenuta utilizzando il parametro $\theta \in \Theta$. + \item $(S, \cS, (Q_\theta)_{\theta \in \Theta})$ -- modello statistico (parametrico). + \item $\EE^\theta$ -- valore atteso relativo a $Q_\theta$. + \item $\Var^\theta$ -- varianza relativa a $Q_\theta$. + \item $R_\sigma(U)$ -- rischio quadratico dello stimatore $U$ di $h : \Theta \to \RR$ relativamente a $Q_\theta$, ovverosia $\EE[(U - h(\theta))^2]$. Pari a + a $\Var^\theta(U)$ se $U$ è uno stimatore corretto. + \item $m_\theta$ -- se $Q_\theta$ è discreta, densità discreta $q_\theta$ (o $p_\theta$); se $Q_\theta$ è assolutamente continua, + funzione di densità $f_\theta$. + \item $L$, $L_\theta$, $L_\theta(x_1, \ldots, x_n)$ -- funzione di verosomiglianza, ovverosia $L : \Theta \times \RR^n$ che + associa $(\theta, (x_i))$ a $L_\theta(x_1, \ldots, x_n) = \prod_i m_\theta(x_i)$. + \item $L_U$, $L_U(X_1, \ldots, X_n)$ -- si intende $L_{U(\omega)}(X_1(\omega), \ldots, X_n(\omega))$, per un dato $\omega \in S$. \end{itemize} \end{multicols*} diff --git a/Secondo anno/Elementi di probabilità e statistica/sections/4-statistica.tex b/Secondo anno/Elementi di probabilità e statistica/sections/4-statistica.tex index 629c2e0..1843805 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/4-statistica.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/4-statistica.tex @@ -97,7 +97,7 @@ di ricavare la distribuzione di probabilità dei dati $x_1$, ..., $x_n$. Denotiamo con $\Theta$ l'insieme dei possibili parametri $\theta$ per la distribuzione di probabilità sui dati $x_1$, ..., $x_n$. \smallskip - Denotiamo con $Q_\theta$ la probabilità che si otterrebbe utilizzando il parametro $\sigma$ + Denotiamo con $Q_\theta$ la probabilità che si otterrebbe utilizzando il parametro $\theta$ nel modello di probabilità noto a meno di parametro. \end{notation} @@ -123,44 +123,44 @@ statistico $(S, \cS, (Q_\theta)_{\theta \in \Theta})$. \begin{definition}[Campione i.i.d.~di taglia $n$] Dato un modello statistico, si dice che una famiglia di v.a.~$(X_i : \Omega \to S)_{i \in [n]}$ i.i.d.~è un \textbf{campione i.i.d.~di taglia $n$} - se per ogni $\sigma \in \Sigma$ esiste uno spazio di probabilità $(\Omega, \FF, P_\sigma)$ tale per cui - $(P_\sigma)^{X_i}$ è uguale in legge a $Q_\theta$. + se per ogni $\theta \in \Theta$ esiste uno spazio di probabilità $(\Omega, \FF, P_\theta)$ tale per cui + $(P_\theta)^{X_i}$ è uguale in legge a $Q_\theta$. \end{definition} -Dato un campione di taglia $n$, useremo $P_\sigma$ per riferirci alla misura di probabilità +Dato un campione di taglia $n$, useremo $P_\theta$ per riferirci alla misura di probabilità su $(\Omega, \FF)$ appena descritta. Scriveremo -come apice $\sigma$ per indicare di star lavorando nello spazio -di probabilità $(\Omega, \FF, P_\theta)$ (e.g.~$\EE^\sigma$ è riferito +come apice $\theta$ per indicare di star lavorando nello spazio +di probabilità $(\Omega, \FF, P_\theta)$ (e.g.~$\EE^\theta$ è riferito a $P_\theta$). \begin{definition}[Statistica e stimatore] Dato un campione i.i.d.~$(X_i)_{i \in [n]}$, si dice \textbf{statistica} - una v.a.~dipendente dalle v.a.~$X_i$ ed eventualmente dal parametro $\sigma$. - Si dice \textbf{stimatore} una statistica non dipendente direttamente da $\sigma$. + una v.a.~dipendente dalle v.a.~$X_i$ ed eventualmente dal parametro $\theta$. + Si dice \textbf{stimatore} una statistica non dipendente direttamente da $\theta$. \end{definition} \subsection{Correttezza di uno stimatore} \begin{definition}[Stimatore corretto] Si dice che uno stimatore $U$ è \textbf{corretto} (o \textit{non distorto}) rispetto - a $h : \Sigma \to \RR$ se per ogni $\sigma \in \Sigma$ vale che: + a $h : \Theta \to \RR$ se per ogni $\theta \in \Theta$ vale che: \begin{enumerate}[(i.)] - \item $U$ è $P_\sigma$-integrabile (i.e.~ammette valore atteso), - \item $\EE^\sigma[U] = h(\sigma)$. + \item $U$ è $P_\theta$-integrabile (i.e.~ammette valore atteso), + \item $\EE^\theta[U] = h(\theta)$. \end{enumerate} \end{definition} \begin{remark} - La media campionaria è uno stimatore corretto del valore atteso ($h : \sigma \mapsto \EE^\sigma[X_1]$). Infatti: + La media campionaria è uno stimatore corretto del valore atteso ($h : \theta \mapsto \EE^\theta[X_1]$). Infatti: \[ - \EE^\sigma\!\left[\overline{X}\right] = \EE^\sigma[X_1]. + \EE^\theta\!\left[\overline{X}\right] = \EE^\theta[X_1]. \] \end{remark} \begin{remark} - La varianza campionaria è uno stimatore corretto della varianza ($h : \sigma \mapsto \Var^\sigma(X_1)$). Infatti: + La varianza campionaria è uno stimatore corretto della varianza ($h : \theta \mapsto \Var^\theta(X_1)$). Infatti: \[ - \EE^\sigma[S^2] = \frac{1}{n-1} \left( n \EE^\sigma[X_1^2] - \EE^\sigma[X_1^2] - (n-1) \EE^\sigma[X_1]^2 \right) = \Var^\sigma(X_1). + \EE^\theta[S^2] = \frac{1}{n-1} \left( n \EE^\theta[X_1^2] - \EE^\theta[X_1^2] - (n-1) \EE^\theta[X_1]^2 \right) = \Var^\theta(X_1). \] Si verifica analogamente che il coeff.~di correlazione campionario è uno stimatore corretto del coeff.~di correlazione tra $X_i$ e $X_j$. @@ -169,21 +169,21 @@ a $P_\theta$). \subsection{Consistenza e non distorsione di una successione di stimatori} \begin{definition}[Successione non distorta di stimatori] - Una successione di stimatori $(U_k)_{k \in \NN^+}$ di $h(\sigma)$ si dice - \textbf{asintoticamente non distorta} se $U_k$ è $P_\sigma$-integrabile + Una successione di stimatori $(U_k)_{k \in \NN^+}$ di $h(\theta)$ si dice + \textbf{asintoticamente non distorta} se $U_k$ è $P_\theta$-integrabile (i.e.~ammette valore atteso) e: \[ - \lim_{k \to \infty} \EE^\sigma[U_k] = h(\sigma). + \lim_{k \to \infty} \EE^\theta[U_k] = h(\theta). \] \end{definition} \begin{definition}[Successione consistente di stimatori] - Una successione di stimatori $(U_k)_{k \in \NN^+}$ di $h(\sigma)$ si dice + Una successione di stimatori $(U_k)_{k \in \NN^+}$ di $h(\theta)$ si dice \textbf{consistente} se: \[ - \lim_{k \to \infty} P_\sigma(\abs{U_k - h(\sigma)} > \eps) = 0, \quad \forall \eps > 0, + \lim_{k \to \infty} P_\theta(\abs{U_k - h(\theta)} > \eps) = 0, \quad \forall \eps > 0, \] - ovverosia se $U_k$ converge in $P_\sigma$-probabilità a $h(\sigma)$. + ovverosia se $U_k$ converge in $P_\theta$-probabilità a $h(\theta)$. \end{definition} \begin{remark} @@ -200,22 +200,22 @@ a $P_\theta$). \subsection{Rischio quadratico e preferibilità} \begin{definition}[Rischio quadratico di uno stimatore] - Dato uno stimatore $U$ di $h : \Sigma \to \RR$, si definisce - \textbf{rischio quadratico} di $U$ per $\sigma$ il seguente valore: + Dato uno stimatore $U$ di $h : \Theta \to \RR$, si definisce + \textbf{rischio quadratico} di $U$ per $\theta$ il seguente valore: \[ - R_\sigma(U) = \EE[(U - h(\sigma))^2]. + R_\theta(U) = \EE[(U - h(\theta))^2]. \] \end{definition} \begin{remark} Se $U$ è uno stimatore corretto di $h$, allora - $R_\sigma(U) = \Var^\sigma(U)$. + $R_\theta(U) = \Var^\theta(U)$. \end{remark} \begin{definition}[Preferibilità] - Dati due stimatori $U$, $V$ di $h : \Sigma \to \RR$, si dice + Dati due stimatori $U$, $V$ di $h : \Theta \to \RR$, si dice che $U$ è \textbf{preferibile} rispetto a $V$ se - $R_\sigma(U) \leq R_\sigma(V)$ per ogni $\sigma \in \Sigma$. + $R_\theta(U) \leq R_\theta(V)$ per ogni $\theta \in \Theta$. \end{definition} \subsection{Stimatore di massima verosomiglianza} @@ -224,20 +224,20 @@ D'ora in avanti sottintenderemo di star lavorando sullo spazio misurabile $(\RR, \BB(\RR))$. \begin{notation} - Data la famiglia di probabilità $(Q_\sigma)_{\sigma \in \Sigma})$, usiamo - scrivere $m_\sigma$ per riferirci alla densità discreta $q_\sigma$ (o $p_\sigma$) - di $Q_\sigma$, qualora sia discreta, oppure alla sua funzione di densità - $f_\sigma$, qualora $Q_\sigma$ sia assolutamente continua. + Data la famiglia di probabilità $(Q_\theta)_{\theta \in \Theta})$, usiamo + scrivere $m_\theta$ per riferirci alla densità discreta $q_\theta$ (o $p_\theta$) + di $Q_\theta$, qualora sia discreta, oppure alla sua funzione di densità + $f_\theta$, qualora $Q_\theta$ sia assolutamente continua. \end{notation} \begin{definition}[Funzione di verosomiglianza] Dato un campione $(X_i)_{i \in [n]}$ i.i.d.~, si definisce - \textbf{funzione di verosomiglianza} la funzione $L : \Sigma \times \RR^n$ + \textbf{funzione di verosomiglianza} la funzione $L : \Theta \times \RR^n$ tale per cui: \[ - (\sigma, (x_i)_{i \in [n]}) \xmapsto{L} L_\sigma(x_1, \ldots, x_n) \defeq m_\sigma(x_1) \cdots m_\sigma(x_n). + (\theta, (x_i)_{i \in [n]}) \xmapsto{L} L_\theta(x_1, \ldots, x_n) \defeq m_\theta(x_1) \cdots m_\theta(x_n). \] - Equivalentemente, $L_\sigma(x_1, \ldots, x_n)$ rappresenta la densità congiunta su $Q_\sigma$ + Equivalentemente, $L_\theta(x_1, \ldots, x_n)$ rappresenta la densità congiunta su $Q_\theta$ di $x_1$, ..., $x_n$. \end{definition} @@ -245,11 +245,11 @@ spazio misurabile $(\RR, \BB(\RR))$. Scriveremo $L_U(X_1, \ldots, X_n)$ con $U$ v.a. e $(X_i)_{i \in [n]}$ famiglia di v.a.~reali sottintendendo l'insieme $L_{U(\omega)}(X_1(\omega), \ldots, X_n(\omega))$, - assumendo $U(\omega) \in \Sigma$. + assumendo $U(\omega) \in \Theta$. \end{notation} -\begin{definition}[Stimatore di massima verosomiglianza di $\sigma$] - Si dice che uno stimatore $U$ è di \textbf{massima verosomiglianza di $\sigma$} +\begin{definition}[Stimatore di massima verosomiglianza di $\theta$] + Si dice che uno stimatore $U$ è di \textbf{massima verosomiglianza di $\theta$} su un campione i.i.d.~$(X_i)_{i \in [n]}$ se: \[ L_U(X_1, \ldots, X_n) = \sup_{\theta \in \Theta} L_\theta(X_1, \ldots, X_n), \quad \forall \omega \in S. @@ -273,7 +273,7 @@ spazio misurabile $(\RR, \BB(\RR))$. Tale funzione ha massimo per $\theta = \overline{x}$, e dunque $\overline{X}$ è uno stimatore di massima verosomiglianza di $\theta$. \smallskip - In altre parole, la migliore stima di $\sigma$ data una sequenza di $n$ prove di Bernoulli è + In altre parole, la migliore stima di $\theta$ data una sequenza di $n$ prove di Bernoulli è la frequenza relativa di successi. \end{example}