可测算子序列的一些一般强数定律

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Statistics & Probability Letters Pub Date : 2025-09-11 DOI:10.1016/j.spl.2025.110551

Nguyen Van Quang , Ali Talebi

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引用次数: 0

摘要

本文建立了可测算子序列的一些一般大数定律，从而证明了von Neumann代数中已知的几个强大数定律（LLN）。我们的主要成果之一在某种意义上扩展了Jajte（2003）的主要结果，例如Batty的强LLN和Łuczak的结果作为特例得到。即使在经典随机变量的情况下，结果也是新的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some general strong laws of large numbers for sequence of measurable operators

In this paper, we establish some general laws of large numbers for sequence of measurable operators such that several known strong law of large numbers (LLN) in von Neumann algebras. One of our main achievements extends the main result of Jajte (2003) in some senses such that Batty’s strong LLN and Łuczak’s result are obtained as special cases. The result is new even in the case of classical random variables.

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来源期刊

Statistics & Probability Letters 数学-统计学与概率论

CiteScore

1.60

自引率

0.00%

发文量

173

审稿时长

6 months

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