========= µÚ2ƪ ===============
ÎÒµÄÊýѧҲ²»ºÃ,µ«³¢ÊÔ½âÊÍ.
ÏÖÓÐһͶ×ÊÅâÂÊΪK:1. Äãÿ´Î°´ x (ÀýÈç20%) µÄ±ÈÀýÏÂ×¢, Èôʤ×ʽð»á±äΪ 1 + K * x, Èô¸º¼´¼õÖÁ 1- x.
½øÐÐÁËN¾Öáá,
½á¹ûʤ³öM¾Ö,
ʧ··ÁËN - M ¾Ö.
×ʽð»á±äΪ G = (1+K*x)^M * (1-x)^(N-M) * F
F Ϊ¿ªÊ¼×ʽð
G Ϊ×îáá×ʽð
=> G/F = (1+K*x)^M * (1-x) ^ (N-M)
=> ln(G/F) = ln((1+K*x)^M * (1-x)^(N-M))
ln() Ϊ×ÔÈ»¶ÔÊý. ¶àÊý¼ÆËã»úÓд˹¤ÄÜ
=> ln(G/F) = M * ln(1+K*x) + (N-M) * ln(1-x)
=> ln(G/F) / N = M/N * ln(1+K*x) + (1-M/N)*ln(1-x)
ÓÉÓÚ×óÊÖ±ßln(G/F) / N ¿ÉÊÓΪƽ¾ùÿ¾ÖÔö³¤
ËùÒÔM/N * ln(1+K*x) + (1-M/N)*ln(1-x) Ò²¿ÉÊÓΪƽ¾ùÿ¾ÖÔö³¤
ÓÉÓÚM/N = ʤ³ö¾ÖÊý / ×ܾÖÊý = ׼ȷÂÊ P
Ëù´Óƽ¾ùÿ¾ÖÔö³¤Îª P * ln(1+K*x) + (1-P)*ln(1-x)
ÎÒÃǵIJßÂÔ¾ÍÊÇÕÒ³öÒ»¸öxÖµ, ʹµÃÿ¾ÖÔö³¤ÕâÖÁ×î´ó, ¼´ÊÇ P * ln(1+K*x) + (1-P)*ln(1-x) Ϊ×î´óÖµ. Êýѧ¼Ò¿ÉËã³ö×î¼Ñ x = P - (1-P) / K. (ÒòÎÒ²»ÊÇÊýѧ¼Ò, ¹Ê²»ÏêÂÛ).
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×ܽá
K - ÅâÂÊ춻ãÊпÉ×ÔÎÒÑ¡Ôñ
x - ÏÂ×¢±ÈÀý춻ãÊпÉ×ÔÎÒµ÷Õû
P - ׼ȷ¶ÈÈ´ÊÇʤ¸º¹Ø¼ü,²»¿ÉÇ¿Çó.
¿ÉÓÃͳ¼ÆѧµÄƽ¾ùÖµ¹À¼Æ׼ȷÂÊ.
Ôڼȶ¨µÄͶ×Ê·½·¨ÏÂ, ¼ÙÉè½øÐÐÁËN´Î»¥²»Ó°ÏìµÄͶ×Ê, ½á¹ûʤ³öM¾Ö
ƽ¾ùÖµ = M / N.
Ëæ×ÅͶ×Ê´ÎÊý²»¶ÏÔö¼Ó, M/N½«Ç÷ÏòÒ»¸öÊýÖµ"׼ȷÂÊ"
Èç¹ûN×ã¹»´ó, ¼´M / N = ׼ȷÂÊ P.
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