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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 Binomial distribution ： ウィキペディア英語版 Binomial distribution | kurtosis = $\backslash frac$ | entropy = $\backslash frac12\; \backslash log\_2\; \backslash big(\; 2\backslash pi\; e\backslash ,\; np(1-p)\; \backslash big)\; +\; O\; \backslash left(\; \backslash frac\; \backslash right)$ in shannons. For nats, use the natural log, and omit the factor of $e$ in the log. | mgf = $(1-p\; +\; pe^t)^n\; \backslash !$ | char = $(1-p\; +\; pe^)^n\; \backslash !$ | pgf = $G(z)\; =\; \backslash left(+\; pz\backslash right)^n.$ | fisher = $g\_n(p)\; =\; \backslash frac$ (for fixed $n$) }} In probability theory and statistics, the binomial distribution with parameters ''n'' and ''p'' is the discrete probability distribution of the number of successes in a sequence of ''n'' independent yes/no experiments, each of which yields success with probability ''p''. A success/failure experiment is also called a Bernoulli experiment or Bernoulli trial; when ''n'' = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance. The binomial distribution is frequently used to model the number of successes in a sample of size ''n'' drawn with replacement from a population of size ''N.'' If the sampling is carried out without replacement, the draws are not independent and so the resulting distribution is a hypergeometric distribution, not a binomial one. However, for ''N'' much larger than ''n'', the binomial distribution is a good approximation, and widely used. ==Specification== 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「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.