翻訳と辞書 Words near each other ・ Beninese presidential election, 1996 ・ Beninese presidential election, 2001 ・ Beninese presidential election, 2006 ・ Beninese presidential election, 2011 ・ Beninese presidential election, 2016 ・ Bening ・ Beningbrough ・ Beningbrough (horse) ・ Beningbrough Hall ・ Benington ・ Benington Castle ・ Benington High Wood ・ Benington, Hertfordshire ・ Benington, Lincolnshire ・ Benini ・ Benini distribution ・ Benin–China relations ・ Benin–Denmark relations ・ Benin–Haiti relations ・ Benin–India relations ・ Benin–Kenya relations ・ Benin–Russia relations ・ Benin–United States relations ・ Benioff ・ Beniova ・ Beniowa ・ Beniowskia sphaeroidea ・ Beniparrell ・ Benipatti ・ Benipatti (Vidhan Sabha constituency) 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 Benini distribution ： ウィキペディア英語版 Benini distribution -\beta\left()^2} \left(\frac+\frac}}\right) | cdf =$1-e^\}-\backslash beta()^2\}$| mean =$\backslash sigma+\backslash tfrac\backslash left(\backslash tfrac\}\}\}\backslash right)$| mode =| variance = $\backslash left(\backslash sigma^2+\backslash tfrac\backslash left(\backslash tfrac\}$ In probability, statistics, economics, and actuarial science, the Benini distribution is a continuous probability distribution that is a statistical size distribution often applied to model incomes, severity of claims or losses in actuarial applications, and other economic data.〔A. Sen and J. Silber (2001). ''Handbook of Income Inequality Measurement'', Boston:Kluwer, Section 3: Personal Income Distribution Models.〕 It's tail behavior decays faster than a power law, but not as fast as an exponential. This distribution was introduced by Rodolfo Benini in 1905.〔Benini, R. (1905). I diagrammi a scala logaritmica (a proposito della graduazione per valore delle successioni ereditarie in Italia, Francia e Inghilterra). ''Giornale degli Economisti'', Series II, 16, 222–231.〕 Somewhat later than Benini's original work, the distribution has been independently discovered or discussed by a number of authors.〔See the references in Kleiber and Kotz (2003), p. 236.〕 ==Distribution== The Benini distribution $\backslash mathrm(\backslash alpha,\backslash beta,\backslash sigma)$ is a three parameter distribution, which has cumulative distribution function (cdf) :$F(x)\; =\; 1\; -\; \backslash exp\backslash$ = 1 - \left(\frac\right)^ \right )}} where $x\; \backslash geq\; \backslash sigma$, shape parametes α, β > 0, and σ > 0 is a scale parameter. For parsimony Benini〔 considered only the two parameter model (with α = 0), with cdf :$F(x)\; =\; 1\; -\; \backslash exp\backslash \; =$ 1 - \left( \frac \right)^. The density of the two-parameter Benini model is :$$ f(x) = \frac \exp\left\ \right) \right )^2 \right\} \cdot \log\left( \frac \right), \qquad x \geq \sigma > 0. 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「Benini 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.