翻訳と辞書 Words near each other ・ Poisson bracket ・ Poisson clumping ・ Poisson d'or ・ Poisson d'or (novel) ・ Poisson distribution ・ Poisson formula ・ Poisson games ・ Poisson hidden Markov model ・ Poisson Hill ・ Poisson image editing ・ Poisson kernel ・ Poisson limit theorem ・ Poisson manifold ・ Poisson number ・ Poisson point process ・ Poisson random measure ・ Poisson regression ・ Poisson ring ・ Poisson sampling ・ Poisson scatter theorem ・ Poisson summation formula ・ Poisson superalgebra ・ Poisson supermanifold ・ Poisson Volant ・ Poisson wavelet ・ Poisson's equation ・ Poisson's ratio ・ Poisson, Saône-et-Loire ・ Poissonia ・ Poissonnière (Paris Métro) 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 Poisson random measure ： ウィキペディア英語版 Poisson random measure Let $(E,\; \backslash mathcal\; A,\; \backslash mu)$ be some measure space with $\backslash sigma$-finite measure $\backslash mu$. The Poisson random measure with intensity measure $\backslash mu$ is a family of random variables $\backslash \_)$ such that i) $\backslash forall\; A\backslash in\backslash mathcal,\backslash quad\; N\_A$ is a Poisson random variable with rate $\backslash mu(A)$. ii) If sets $A\_1,A\_2,\backslash ldots,A\_n\backslash in\backslash mathcal$ don't intersect then the corresponding random variables from i) are mutually independent. iii) $\backslash forall\backslash omega\backslash in\backslash Omega\backslash ;N\_(\backslash omega)$ is a measure on $(E,\; \backslash mathcal\; )$ ==Existence== If $\backslash mu\backslash equiv\; 0$ then $N\backslash equiv\; 0$ satisfies the conditions i)–iii). Otherwise, in the case of finite measure $\backslash mu$, given $Z$, a Poisson random variable with rate $\backslash mu(E)$, and $X\_,\; X\_,\backslash ldots$, mutually independent random variables with distribution $\backslash frac$, define $N\_(\backslash omega)\; =\; \backslash sum\backslash limits\_^\; \backslash delta\_(\backslash cdot)$ where $\backslash delta\_(A)$ is a degenerate measure located in $c$. Then $N$ will be a Poisson random measure. In the case $\backslash mu$ is not finite the measure $N$ can be obtained from the measures constructed above on parts of $E$ where $\backslash mu$ is finite. 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「Poisson random measure」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.