The strong laws of large numbers for positive measurable operators and applications

Nguyen Van Quang, Do The Son and Le Hong Son

Statistics & Probability Letters, 2017, vol. 124, issue C, 110-120

Abstract: The aim of this study is to establish some strong laws of large numbers for positive measurable operators under various conditions. As applications, several results on strong laws of large numbers for pairwise independent non-identically distributed random variables and for pairwise independent identically distributed random variables have been generalized to the noncommutative context. The results obtained are more general than some related results previously reported.

Keywords: Strong law of large numbers; Positive measurable operator; Von Neumann algebra; Bilaterally almost uniform convergence (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.01.014

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