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pushforward measure : ウィキペディア英語版 | pushforward measure In measure theory, a pushforward measure (also push forward, push-forward or image measure) is obtained by transferring ("pushing forward") a measure from one measurable space to another using a measurable function. ==Definition== Given measurable spaces (''X''1, Σ1) and (''X''2, Σ2), a measurable mapping ''f'' : ''X''1 → ''X''2 and a measure ''μ'' : Σ1 → (), the pushforward of ''μ'' is defined to be the measure ''f''∗(''μ'') : Σ2 → () given by : This definition applies ''mutatis mutandis'' for a signed or complex measure.
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「pushforward measure」の詳細全文を読む
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