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ÒÔÏÂÂÛÊöÖÐ ©¸ ©¼ µÄº¬Ò壿 Theorem (Mean Absolute Deviation and Mode) . Let X ~ Bin(n,p). Let v denote the smallest integer > np and let m=©¸ np + p ©¼. Then, (a) E|X-np|= 2v (1-p) P(X=v). (b) The mode of X equals m. In paricular, if np is an integer, then the mode is exactly np; if np is not an integer, then the mode is one of the two integers just below and just above np. |
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hill008
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2Â¥2010-09-15 20:15:38
hill008
½ð³æ (ÕýʽдÊÖ)
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3Â¥2010-09-15 20:23:20
minggx
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ÕâÊÇA. DasGupta дµÄFundametal of Probability: A first Course, Springer, 2010 ÖеÄ99Ò³µÄTheorem 6.3 . °ÑËüµÄÖ¤Ã÷Ҳд³öÀ´£¬×ö³ÉͼƬ£¬ ´ó¼Ò°ïÎÒÔÙ¿´¿´£¬ лл£¡ http://cid-8d349205ac2b2441.offi ... blic/Theorem6-3.bmp |

4Â¥2010-09-15 21:14:21
hill008
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5Â¥2010-09-15 21:19:53
minggx
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6Â¥2010-09-15 21:25:51














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