翻訳と辞書 Words near each other ・ Multivariate analysis of variance ・ Multivariate Behavioral Research ・ Multivariate Behrens–Fisher problem ・ Multivariate cryptography ・ Multivariate ENSO index ・ Multivariate gamma function ・ Multivariate interpolation ・ Multivariate kernel density estimation ・ Multivariate landing page optimization ・ Multivariate mutual information ・ Multivariate normal distribution ・ Multivariate optical computing ・ Multivariate optical element ・ Multivariate Pareto distribution ・ Multivariate probit model ・ Multivariate random variable ・ Multivariate stable distribution ・ Multivariate statistics ・ Multivariate t-distribution ・ Multivariate testing ・ Multivariate testing in marketing ・ Multivector ・ Multiven ・ Multiverse ・ Multiverse (DC Comics) ・ Multiverse (disambiguation) ・ Multiverse (diversity) ・ Multiverse (Marvel Comics) ・ Multiverse (Michael Moorcock) ・ Multiverse (religion) 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 Multivariate random variable ： ウィキペディア英語版 Multivariate random variable In mathematics, probability, and statistics, a multivariate random variable or random vector is a list of mathematical variables each of whose value is unknown, either because the value has not yet occurred or because there is imperfect knowledge of its value. The individual variables in a random vector are grouped together because there may be correlations among them — often they represent different properties of an individual statistical unit (e.g. a particular person, event, etc.). Normally each element of a random vector is a real number. Random vectors are often used as the underlying implementation of various types of aggregate random variables, e.g. a random matrix, random tree, random sequence, random process, etc. More formally, a multivariate random variable is a column vector $\backslash mathbf=(X\_1,...,X\_n)^T$ (or its transpose, which is a row vector) whose components are scalar-valued random variables on the same probability space $(\backslash Omega,\; \backslash mathcal,\; P)$, where $\backslash Omega$ is the sample space, $\backslash mathcal$ is the sigma-algebra (the collection of all events), and $P$ is the probability measure (a function returning each event's probability). ==Probability distribution== Every random vector gives rise to a probability measure on $\backslash mathbb^n$ with the Borel algebra as the underlying sigma-algebra. This measure is also known as the joint probability distribution, the joint distribution, or the multivariate distribution of the random vector. The distributions of each of the component random variables $X\_i$ are called marginal distributions. The conditional probability distribution of $X\_i$ given $X\_j$ is the probability distribution of $X\_i$ when $X\_j$ is known to be a particular value. 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「Multivariate random variable」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.