摘要
本文得到了闭集序列的强上极限和强下极限的一个等价定义并利用它证明了随机集列的强上极限和强下极限的可测性,同时给出了随机集及其条件期望序列的强上极限的Fatou引理以及在Kuratowski收敛意义下的Lebesque控制收敛定理。
In this paper, we give equivalent definitions of the strong upper limit and the strong lower limit of a sequence of closed sets. According to the definitions, we prove the measurability of the strong upper limit and the strong lower limit and Lebesque's dominated convergence theorems for the sequence of random sets. Analogous convergence results are also presented for the multivalued conditional expectations of these random sets.
出处
《应用概率统计》
CSCD
北大核心
1996年第3期283-290,共8页
Chinese Journal of Applied Probability and Statistics
