A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers

Charles Castaing, Nguyen Van Quang and Nguyen Tran Thuan

Statistics & Probability Letters, 2012, vol. 82, issue 1, 84-95

Abstract: We consider a new family of convex weakly compact valued integrable random sets which is called an adapted array of convex weakly compact valued integrable random variables of type p (1⩽p⩽2). By this concept, more general laws of large numbers will be established. Some illustrative examples are provided.

Keywords: Law of large numbers; Set-valued random variable; Adapted array of type p; Weak adapted array of type p (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2011.08.012

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