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Some Results on Regular Conditional Probabilities

Some Results on Regular Conditional Probabilities
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摘要 § 1. IntroductionLet (Q, &~, P) be a separable probability space with &~=a (An> n>l), ^ be a sub o-field of &~. SetandF*-E\.I<t<t>m a.g..(2)By Follmer Lemma (o.f. [1], Th. 3.5 and Th. 3.7), we may assume that we have chosen a version of (Ft)t><> such that for all w, F.(w} is a right continuousincreasing function with F0(w~) =0 and Ft(w} =1 for all t^--. (Such a version of£(Ft) can also be constructed by elementary method.) For a fixed w, denote by
作者 马志明
出处 《Acta Mathematica Sinica,English Series》 SCIE 1985年第4期302-307,共6页 数学学报(英文版)
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