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A strong law of large numbers for non identically distributed Pettis integrable random sets in a general Banach space


M. El Allali
F. Ezzaki

Abstract

A multivalued version of Cesàro mean convergence theorem is established. As a consequence, various convergence results of strong law of large numbers for pairwise independent Pettis integrable random sets in a Banach space without any additional geometric condition on the space are provided.


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eISSN: 1727-933X
print ISSN: 1607-3606