On the conditional expectation and convergence properties of random sets-Reference-Cited by-同舟云学术

On the conditional expectation and convergence properties of random sets

Published:1995 Issue:7 Volume:347 Page:2495-2515
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Papageorgiou Nikolaos S.

Abstract

In this paper we study random sets, with values in a separable Banach space. First we establish several useful properties of the set-valued conditional expectation and then prove some convergence theorems for set-valued amarts and uniform amarts, using the weak, Kuratowski-Mosco and Hausdorff modes of set convergence.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1995-347-07/S0002-9947-1995-1290728-9/S0002-9947-1995-1290728-9.pdf

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