期刊信息
- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Measurability of the Limit and the Fatou's Lemma of a Sequence of Random Sets
摘要/Abstract
摘要:
讨论了随机集列弱上极限、弱下极限的可测性, 证明了集值条件期望与可积选择空间在弱收敛意义下的 Fatou引理
Abstract:
Examined the measurability of the limit of a sequence of random sets, proved Fatou's lemma in the sense of weak convergence for set- valued conditional expectations and integrable selections.
关键词
Key words:
random sets
;
set-valued conditional expectation
;
integrable selection
;
Fatou's lemma