Various convergence results in strong law of large numbers for double array of random sets in Banach spaces

Authors: Charles Castaing, Nguyễn Văn Quảng, Dương Xuân Giáp,

https://doi.org/ftp://file.viasm.org/Hotro/ChuongtrinhToan/Thuongcongtrinh/ThuongCongTrinh-2013/2013_Bai_139.pdf

Publisher, magazine: ,

Publication year: 2012

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Abstract

In this paper, we state several convergence results with respect to the slice and Wijsman topolo-gies of strong laws of large numbers for double array of independent (or pairwise independent) random sets in a separable Banach space with or without geometric property. We also providesome typical examples illustrating this study.

Tags: independent closed valued random sets; strong law of large numbers; type p Banach space; Wijsman topology; slice topology