翻訳と辞書 Words near each other ・ Paresi language ・ Paresis ・ Paresi–Waura languages ・ Paresk ・ Paressisus viridipennis ・ Paressonodon ・ Paresthesia ・ Parestola ・ Paret ・ Paretak ・ Paretaxalus ・ Parete ・ Pareto ・ Pareto analysis ・ Pareto chart ・ Pareto distribution ・ Pareto efficiency ・ Pareto Group ・ Pareto index ・ Pareto interpolation ・ Pareto Platform ・ Pareto principle ・ Pareto priority index ・ Pareto's law ・ Pareto, Piedmont ・ Paretroplus ・ Paretroplus dambabe ・ Paretroplus gymnopreopercularis ・ Paretroplus lamenabe ・ Paretroplus loisellei 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 Pareto distribution ： ウィキペディア英語版 Pareto distribution \textx\ge x_m | cdf =$1-\backslash left(\backslash frac\backslash right)^\backslash alpha\; \backslash text\; x\; \backslash ge\; x\_m$ | mean =$\backslash begin$ \infty & \text\alpha\le 1 \\ \frac & \text\alpha>1 \end | median =$x\_\backslash mathrm\; \backslash sqrt()$ | mode =$x\_\backslash mathrm$ | variance =$\backslash begin$ \infty & \text\alpha\in(0,2] \\ \frac & \text\alpha>2 \end | skewness =$\backslash frac\backslash ,\backslash sqrt\}\backslash text\backslash alpha>3$ | kurtosis =$\backslash frac\backslash text\backslash alpha>4$ | entropy =$\backslash ln\backslash left(\backslash frac\backslash right)\; +\; \backslash frac\; +\; 1$ | mgf = | char =$\backslash alpha(-ix\_\backslash mathrmt)^\backslash alpha\backslash Gamma(-\backslash alpha,-ix\_\backslash mathrmt)$ | fisher = }} The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto, is a power law probability distribution that is used in description of social, scientific, geophysical, actuarial, and many other types of observable phenomena. ==Definition== If ''X'' is a random variable with a Pareto (Type I) distribution, then the probability that ''X'' is greater than some number ''x'', i.e. the survival function (also called tail function), is given by :$\backslash overline(x)\; =\; \backslash Pr(X>x)\; =\; \backslash begin$ \left(\frac\right)^\alpha & x\ge x_\mathrm, \\ 1 & x < x_\mathrm. \end where ''x''m is the (necessarily positive) minimum possible value of ''X'', and α is a positive parameter. The Pareto Type I distribution is characterized by a scale parameter ''x''m and a shape parameter α, which is known as the ''tail index''. When this distribution is used to model the distribution of wealth, then the parameter α is called the Pareto index. 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「Pareto 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.