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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Convergence in measure ： ウィキペディア英語版 Convergence in measure Convergence in measure can refer to two distinct mathematical concepts which both generalize the concept of convergence in probability. ==Definitions== Let $f,\; f\_n\backslash \; (n\; \backslash in\; \backslash mathbb\; N):\; X\; \backslash to\; \backslash mathbb\; R$ be measurable functions on a measure space (''X'',Σ,''μ''). The sequence (''f''''n'') is said to converge globally in measure to ''f'' if for every ''ε'' > 0, :$\backslash lim\_\; \backslash mu(\backslash )\; =\; 0$, and to converge locally in measure to ''f'' if for every ''ε'' > 0 and every $F\; \backslash in\; \backslash Sigma$ with , :$\backslash lim\_\; \backslash mu(\backslash )\; =\; 0$. Convergence in measure can refer to either global convergence in measure or local convergence in measure, depending on the author. 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「Convergence in 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.