A new family of convex weakly compact valued random variables in Banach space and applications to laws of large numbers
https://doi.org/10.1016/j.spl.2011.08.012Publisher, magazine: ,
Publication year: 2012
Lưu Trích dẫn Chia sẻAbstract
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). Using this concept, more general laws of large numbers are established. Some illustrative examples are provided.
Tags: law of large numbers; set-valued random variable; adapted array of type p; weak adapted array of type p
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