翻訳と辞書 Words near each other ・ Beta Leonis Minoris ・ Beta Leporis ・ Beta Librae ・ Beta Love ・ Beta Lupi ・ Beta Lyrae ・ Beta Lyrae variable ・ Beta Mensae ・ Beta Microscopii ・ Beta Monkey Music ・ Beta Monocerotis ・ Beta motor neuron ・ Beta movement ・ Beta Mu Sigma ・ Beta Muscae ・ Beta negative binomial distribution ・ Beta News Agency ・ Beta normal form ・ Beta Octantis ・ Beta Ophiuchi ・ Beta oxidation ・ Beta particle ・ Beta Pavonis ・ Beta Peak ・ Beta Pegasi ・ Beta Pharma ・ Beta phase ・ Beta Phi Alpha ・ Beta Phi Mu ・ Beta Phi Mu Award Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Beta negative binomial distribution ： ウィキペディア英語版 Beta negative binomial distribution } & \text\ \alpha>3 \\ \infty & \text\ \end | kurtosis = | entropy = | mgf = undefined | char = $\backslash frac\; (r,\backslash alpha;\backslash alpha+\backslash beta+r;e^)\backslash !$ }} In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable ''X'' equal to the number of failures needed to get ''r'' successes in a sequence of independent Bernoulli trials where the probability ''p'' of success on each trial is constant within any given experiment but is itself a random variable following a beta distribution, varying between different experiments. Thus the distribution is a compound probability distribution. This distribution has also been called both the inverse Markov-Pólya distribution and the generalized Waring distribution.〔Johnson et al. (1993)〕 A shifted form of the distribution has been called the beta-Pascal distribution.〔 If parameters of the beta distribution are ''α'' and ''β'', and if :$$ X \mid p \sim \mathrm(r,p), where :$$ p \sim \textrm(\alpha,\beta), then the marginal distribution of ''X'' is a beta negative binomial distribution: :$$ X \sim \mathrm(r,\alpha,\beta). In the above, NB(''r'', ''p'') is the negative binomial distribution and B(''α'', ''β'') is the beta distribution. Recurrence relation $$ \left\\right\} ==Definition== If $r$ is an integer, then the PMF can be written in terms of the beta function,: :$f(k|\backslash alpha,\backslash beta,r)=\backslash binomk\backslash frac$. More generally the PMF can be written :$f(k|\backslash alpha,\backslash beta,r)=\backslash frac\backslash frac$. 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「Beta negative binomial 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.