亚极限上（下）鞅与一致可积性

作     者：万成高 吴钢 

作者机构：Mathematics Department Hubei University Wuhan 430062 

出 版 物：《高校应用数学学报（A辑）》 (Applied Mathematics A Journal of Chinese Universities(Ser.A))

年 卷 期：1992年第7卷第1期

页      面：39-47页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

主　　题：亚极限 上鞅 下鞅 一致可积性 

摘      要：In this paper, the following results have been proved: (i) If ( Xn,Fn ) is a uniformly integrable super(sub)-Mil, then (X.) lower (upper)-semiconverges (a. s. ) to an integrable random variable; (ii) If (Xn,Fn) is a uniformly integrable adapted sequence, then that (Xn) lower(upper)-semiconverges (a. s. ) is equivalent to that (Xn,Fn)is a super(sub)-Mil; and (iii) If (Xn,Fn) is a super(sub)-Mil of class (c-)((c+)), then (Xn) is lower(upper)-semiconvergent (a. s, ).