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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 arcsine distribution ： ウィキペディア英語版 arcsine distribution | cdf =$F(x)\; =\; \backslash frac\backslash arcsin\backslash left(\backslash sqrt\; x\; \backslash right)$ | mean =$\backslash frac$ | median =$\backslash frac$ | mode =$x\; \backslash in$ | variance =$\backslash tfrac$ | skewness =$0$| kurtosis =$-\backslash tfrac$| entropy =$\backslash ln\; \backslash tfrac$ | mgf = $1\; +\backslash sum\_^\; \backslash left(\; \backslash prod\_^\; \backslash frac\; \backslash right)\; \backslash frac$| char = $;\; 1;\; i\backslash ,t)\backslash$| }} In probability theory, the arcsine distribution is the probability distribution whose cumulative distribution function is :$F(x)\; =\; \backslash frac\backslash arcsin\backslash left(\backslash sqrt\; x\backslash right)=\backslash frac+\backslash frac$ for 0 ≤ ''x'' ≤ 1, and whose probability density function is :$f(x)\; =\; \backslash frac(\backslash tfrac,\backslash tfrac)\; \backslash$ The arcsine distribution appears * in the Lévy arcsine law; * in the Erdős arcsine law; * as the Jeffreys prior for the probability of success of a Bernoulli trial. ==Generalization== | cdf =$F(x)\; =\; \backslash frac\backslash arcsin\backslash left(\backslash sqrt\; \backslash frac\; \backslash right)$ | mean =$\backslash frac$ | median =$\backslash frac$ | mode =$x\; \backslash in$ | variance =$\backslash tfrac(b-a)^2$ | skewness =$0$| kurtosis =$-\backslash tfrac$| entropy = | mgf = | char = | }} 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「arcsine 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.