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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 Sample-continuous process ： ウィキペディア英語版 Sample-continuous process In mathematics, a sample-continuous process is a stochastic process whose sample paths are almost surely continuous functions. ==Definition== Let (Ω, Σ, P) be a probability space. Let ''X'' : ''I'' × Ω → ''S'' be a stochastic process, where the index set ''I'' and state space ''S'' are both topological spaces. Then the process ''X'' is called sample-continuous (or almost surely continuous, or simply continuous) if the map ''X''(''ω'') : ''I'' → ''S'' is continuous as a function of topological spaces for P-almost all ''ω'' in ''Ω''. In many examples, the index set ''I'' is an interval of time, () or [0, +∞), and the state space ''S'' is the real line or ''n''-dimensional Euclidean space R''n''. 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「Sample-continuous process」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.