翻訳と辞書 Words near each other ・ Lander Institute ・ Lander Olaetxea ・ Lander Panera Arteagabeitia ・ Lander Park Carousel ・ Lander Peak ・ Lander Seynaeve ・ Lander University ・ Lander Van Steenbrugghe ・ Lander's Center ・ Lander's horseshoe bat ・ Lander, Nevada ・ Lander, Parkin, and Selfridge conjecture ・ Lander, Pennsylvania ・ Landau Commission ・ Landau damping ・ Landau distribution ・ Landau Eugene Murphy, Jr. ・ Landau Forte ・ Landau Forte Academy Amington ・ Landau Forte Academy QEMS ・ Landau Forte Academy Tamworth Sixth Form ・ Landau Forte College ・ Landau Institute for Theoretical Physics ・ Landau pole ・ Landau prime ideal theorem ・ Landau quantization ・ Landau reflex ・ Landau set ・ Landau theory ・ Landau Zoo 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 Landau distribution ： ウィキペディア英語版 Landau distribution In probability theory, the Landau distribution is a probability distribution named after Lev Landau. Because of the distribution's long tail, the moments of the distribution, like mean or variance, are undefined. The distribution is a special case of the stable distribution. ==Definition== The probability density function of a standard version of the Landau distribution is defined by the complex integral :$p(x)\; =\; \backslash frac\; \backslash int\_^\backslash !\; e^\backslash ,\; ds\; ,$ where ''c'' is any positive real number, and log refers to the logarithm base e, the natural logarithm. The result does not change if ''c'' changes. For numerical purposes it is more convenient to use the following equivalent form of the integral, :$p(x)\; =\; \backslash frac\; \backslash int\_0^\backslash infty\backslash !\; e^\; \backslash sin(\backslash pi\; t)\backslash ,\; dt.$ The full family of Landau distributions is obtained by extending the standard distribution to a location-scale family. This distribution can be approximated by 〔(【引用サイトリンク】url=http://www.studio-miradoli-progettazione.it/About%20Radioactivity/Radioactivity%20Tools/node10.html )〕 :$p(x)\; =\; \backslash frac(x\; +\; e^)\backslash right\backslash \}.$ This distribution is a special case of the stable distribution with parameters ''α'' = 1, and ''β'' = 1.〔 〕 The characteristic function may be expressed as: :$\backslash varphi(t;\backslash mu,c)=\backslash exp\backslash !\backslash Big(it\backslash mu\; -\; |c\backslash ,t|(1+\backslash tfrac\backslash log(|t|))\backslash Big).$ where μ and ''c'' are real, which yields a Landau distribution shifted by μ and scaled by ''c''. 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「Landau 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.