Strong Law of Large Numbers of Pettis-Integrable Multifunctions

Hamid Oulghazi and Fatima Ezzaki

Journal of Mathematics, 2019, vol. 2019, 1-7

Abstract:

Using reversed martingale techniques, we prove the strong law of large numbres for independent Pettis-integrable multifunctions with convex weakly compact values in a Banach space. The Mosco convergence of reversed Pettis-integrable martingale of the form , where is a decreasing sequence of the sub - algebra of is provided.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9456167

DOI: 10.1155/2019/9456167

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