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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Displaced Poisson distribution ： ウィキペディア英語版 Displaced Poisson distribution In statistics, the displaced Poisson, also known as the hyper-Poisson distribution, is a generalization of the Poisson distribution. The probability mass function is :$$ P(X=n) = \begin e^\dfrac\cdot\dfrac, \quad n=0,1,2,\ldots &\text r\geq 0\\() e^\dfrac\cdot\dfrac,\quad n=s,s+1,s+2,\ldots &\text \end where $\backslash lambda>0$ and ''r'' is a new parameter; the Poisson distribution is recovered at ''r'' = 0. Here $I\backslash left(\backslash cdot,\backslash cdot\backslash right)$ is the incomplete gamma function and ''s'' is the integral part of ''r''. The motivation given by Staff is that the ratio of successive probabilities in the Poisson distribution (that is $P(X=n)/P(X=n-1)$) is given by $\backslash lambda/n$ for $n>0$ and the displaced Poisson generalizes this ratio to $\backslash lambda/\backslash left(n+r\backslash right)$. ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Displaced Poisson distribution」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.