摘要
离散参数集值上鞅的收敛性已有诸多学者研究过。Hess.C.给出了无界集值上鞅在Kuratows-ki-Mosco收敛意义下的收敛定理,笔者曾得到了在Kuratowski收敛意义下的类似结果,但对连续参数集值上鞅收敛性研究尚不多见。文中在给出连续参数集值上鞅在Kuratowski收敛意义下的收敛定理。
The convergence with discrete parameter of set-valued supermartingale had been investigated by many scholars. Hess. C verifies theset-valued supermatingale convergence theorem in the sense of Kttratowsk, the author gives some similar conclusions in the sense of Kuratowsk, but there are not too much investigation on the set-valued supermartingale in the sense of Kuratowsk. The present paper investigates the convergence theorem of . set-valued supermartingale in the sense of Kuratowsk.
出处
《西安科技大学学报》
CAS
北大核心
2006年第2期276-278,共3页
Journal of Xi’an University of Science and Technology
关键词
集值上鞅
集值条件期望
KURATOWSKI收敛
set-valued supermartingale
set-valued conditional expectation
Kuratowsk convergence
