翻訳と辞書 Words near each other ・ Location Songs ・ Location test ・ Location testing for Gaussian scale mixture distributions ・ Location theory ・ Location transparency ・ Location View ・ Location, Location, Location ・ Location, West Virginia ・ Location-allocation ・ Location-based advertising ・ Location-based authentication ・ Location-based commerce ・ Location-based game ・ Location-based routing ・ Location-based service ・ Location-scale family ・ Locational astrology ・ Locationes mansorum desertorum ・ LocationFree Player ・ Locationized firearm ・ Locationized gun ・ Locations associated with Arthurian legend ・ Locations in Australia with an English name ・ Locations in Canada with an English name ・ Locations in His Dark Materials ・ Locations in Jericho (TV series) ・ Locations in the Bionicle Saga ・ Locations in the world with an English name ・ Locations in Veronica Mars ・ Locations of executions conducted by Albert Pierrepoint 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 Location-scale family ： ウィキペディア英語版 Location-scale family In probability theory, especially in mathematical statistics, a location-scale family is a family of univariate probability distributions parametrized by a location parameter and a non-negative scale parameter. For any random variable $X$ whose probability distribution function belongs to such a family, the distribution function of $Y\; \backslash stackrel\; a\; +\; b\; X$ also belongs to the family (where $\backslash stackrel$ means "equal in distribution"—that is, "has the same distribution as"). Moreover, if $X$ and $Y$ are two random variables whose distribution functions are members of the family, and $X$ has zero mean and unit variance, then $Y$ can be written as $Y\; \backslash stackrel\; \backslash mu\_Y\; +\; \backslash sigma\_Y\; X$ , where $\backslash mu\_Y$ and $\backslash sigma\_Y$ are the mean and standard deviation of $Y$. In other words, a class $\backslash Omega$ of probability distributions is a location-scale family if for all cumulative distribution functions $F\; \backslash in\; \backslash Omega$ and any real numbers $a\; \backslash in\; \backslash mathbb$ and $b\; >\; 0$, the distribution function $G(x)\; =\; F(a\; +\; b\; x)$ is also a member of $\backslash Omega$. In decision theory, if all alternative distributions available to a decision-maker are in the same location-scale family, and the first two moments are finite, then a two-moment decision model can apply, and decision-making can be framed in terms of the means and the variances of the distributions. == Examples == Often, location-scale families are restricted to those where all members have the same functional form. Well-known families in which the functional form of the distribution is consistent throughout the family include the following: * Normal distribution * Elliptical distribution * Cauchy distribution * Uniform distribution (continuous) * Uniform distribution (discrete) * Logistic distribution * Laplace distribution * Student's t-distribution * Generalized extreme value distribution 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「Location-scale family」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.