| 汪振鹏.Semiamart与Gaft类的收敛性[J].数学研究及应用,1986,6(1):141~145 |
| Semiamart与Gaft类的收敛性 |
| Semiamarts and the Convergence of Classes of Gafts |
| 投稿时间：1983-12-22 |
| DOI：10.3770/j.issn:1000-341X.1986.01.039 |
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| Let (Ω,F,P) be a probability space,(Fn) be an increasing sequence of sub-σ-fields of F, a sequence (xn) of integrable random variables adapted to (Fn), if (xn) is progressive uniformly integrable or(xn)is a L1-bounded Semiamart, then ( 1 ) xm-xn→0 (Pr.), ( 2 ) E (xm|Fn)-xn→0 (pr.) are equivalent is proved in this paper . |
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