On the continuity of the vector valued and set valued conditional expectations

In this paper we study the dependence of the vector valued conditional expectation (for both single valued and set valued random variables), on the σ–field and random variable that determine it. So we prove that it is continuous for the L1(X) convergence of the sub–σ–fields and of the random variabl...

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Bibliographic Details
Main Author: Nikolaos S. Papageorgiou
Format: Article
Language:English
Published: Wiley 1989-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S016117128900061X
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