期刊信息
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- 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
Martingale Approximation of Set-valued Pramart and Its Convergence
摘要/Abstract
摘要:
假定(X,‖ 。‖)为可分的Banach空间,X*为其对偶空间.设(Ω,B,P)为完备的概率空间,{Bn,n≥1}为B的上升子σ-域族,且B=VBn.证明了集值Pramart的鞅逼近,在此基础上,给出了集值Pramart在Kuratowski-Mosco收敛意义及弱收敛意义下的收敛定理.
Abstract:
Let(X,‖·‖)be a real separable Banach space with the dual X*,(Ω,B,P) be a complete probability space,Further,{Bn,n≥1} be an increase sub σ-fields filtration of B,and B=VBn,First of all,the martingale approximation theorem of set-valued Pramart is proven,and the convergence theorenm of set-valued Pramart is given.
关键词
关键词:
集值Pramart
;
随机集
;
Kuratowski-Mosco收敛
;
弱收敛
Key words:
set-valued pramart
;
random
;
KuratowskiMosco convergence
;
weak limit