Оценка надежности классифицирующих алгоритмов. Гуров С.И. - 36 стр.

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J
1
= (0.006, 0.500) , J
2
= (0.005, 0.446) , J
3
= (0.003, 0.302) η = 0.95 .
J
1
= (0.104, 0.526) , J
2
= (0.025, 0. 445) , J
3
= (0.105, 0.319) η = 0.95 .
J
1
= (0.125, 0.526) , J
2
= (0.100, 0. 445) , J
3
= (0.007, 0.319) η = 0.95 ,
J
2
= (0.02, 0.32) η = 0.9 J
2
= (0.01, 0.46) η = 0.95 .
p
J
1
N
= (0.006, 0.471) , J
2
N
= (0.005, 0.394) , J
3
N
= (0.003, 0.279)
J
1
N
= (0.003, 0.527) , J
2
N
= (0.003, 0.445) , J
3
N
= (0.002, 0.319)
η = 0.9 (P = 0.95) η = 0.95 (P = 0.975)
6.3.2 Èíòåðâàëüíûå îöåíêè.
 [34] çàòàáóëèðîâàíû ýêñòðåìàëüíûå ðåøåíèÿ íåðàâåíñòâà (30). Ïî Òàáëèöå 1. íàõîäèì:

      J 1 = (0.006, 0.500) , J 2 = (0.005, 0.446) , J 3 = (0.003, 0.302) äëÿ η = 0.95 .

   Ðåøåíèå (30) èñïîëüçóþùåå çàìåíó áèíîìèàëüíîãî ðàñïðåäåëåíèÿ íà F -ðàñïðåäåëåíèå
(ñì. [41]) äà¼ò

      J 1 = (0.104, 0.526) , J 2 = (0.025, 0.445) , J 3 = (0.105, 0.319) äëÿ η = 0.95 .

   Ðåøàÿ óðàâíåíèÿ (39) Êëîïïåðà-Ïèðñîíà ïî ôîðìóëàì (40) (çàìåíîé áèíîìèàëüíîãî
íà F -ðàñïðåäåëåíèå), ïîëó÷èì

      J 1 = (0.125, 0.526) , J 2 = (0.100, 0.445) , J 3 = (0.007, 0.319) äëÿ η = 0.95 ,

÷òî î÷åíü áëèçêî ê ïðåäûäóùèì ðåøåíèÿì.
   Ãðàôè÷åñêèì ìåòîäîì ðåøåíèÿ óðàâíåíèé (39) Êëîïïåðà-Ïèðñîíà áîëåå-ìåíåå
óâåðåííî ìîæíî îïðåäåëèòü ëèøü îöåíêó äëÿ âòîðîãî ñëó÷àÿ:

            J 2 = (0.02, 0.32) äëÿ η = 0.9 è J 2 = (0.01, 0.46) äëÿ η = 0.95 .

   Íåéìàíîâñêèå îöåíêè íàéäåì ïî òàáëèöå 5.2 [7] Äîâåðèòåëüíûõ ïðåäåëîâ äëÿ
ïàðàìåòðà p áèíîìèàëüíîãî ðàñïðåäåëåíèÿ:

             JN1 = (0.006, 0.471) , JN2 = (0.005, 0.394) , JN3 = (0.003, 0.279)

è
             JN1 = (0.003, 0.527) , JN2 = (0.003, 0.445) , JN3 = (0.002, 0.319)
äëÿ η = 0.9 (P = 0.95) è η = 0.95 (P = 0.975) ñîîòâåòñòâåííî. Âèäíî, ÷òî íåéìàíîâñêèå
íàèáîëåå ñåëåêòèâíûå èíòåðâàëû íå ñóòü êðàò÷àéøèå äîâåðèòåëüíûå.

    çàêëþ÷åíèå ìû ïðèâåä¼ì ñëîâà èç ôóíäàìåíòàëüíîé ìîíîãðàôèè [25]: åñëè
ðåçóëüòàòû ðàçëè÷íûõ ïîõîäîâ íå ñîâïàäàþò, òî ¾îñíîâíàÿ ïðè÷èíà ðàçëè÷èÿ íå â òîì,
÷òî òîò èëè èíîé ïîõîä íå âåðåí, à â òîì, ÷òî îíè, ñîçíàòåëüíî èëè íå ñîçíàòåëüíî, ëèáî
îòâå÷àþò íà ðàçíûå âîïðîñû, ëèáî îñíîâûâàþòñÿ íà ðàçíûõ ïîñòóëàòàõ¿.


   Àâòîð ãëóáîêî ïðèçíàòåëåí àêàäåìèêó ÐÀÍ Þ.È. Æóðàâë¼âó çà ïîíèìàíèå è
ïîääåðæêó. Àâòîð òàêæå áëàãîäàðåí ïðîô. Â.Å. Áåíèíãó çà öåííûå êîíñóëüòàöèè è ê.ô.-
ì.í. Ê.Â. Âîðîíöîâó çà ïðåäîñòàâëåííûå ìàòåðèàëû ïî òåîðèè Âàïíèêà-×åðâîíåíêèñà è
ïîëåçíûå îáñóæäåíèÿ ðàññìàòðèâàåìûõ âîïðîñîâ.

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