波兰半群上概率测度的无穷卷积

IF 1.3 Q2 STATISTICS & PROBABILITY

Probability Surveys Pub Date : 2021-08-28 DOI:10.1214/22-ps6

K. Yano

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引用次数: 2

摘要

本文旨在对波兰半群上概率测度的无限卷积理论作一个简短的自包含的介绍。给出了完全简单半群的Rees分解定理、Ellis -Żelazko定理、卷积幂等函数的卷积分解定理和无穷卷积的聚类点的卷积分解定理的证明。

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Infinite convolutions of probability measures on Polish semigroups

This expository paper is intended for a short self-contained introduction to the theory of infinite convolutions of probability measures on Polish semigroups. We give the proofs of the Rees decomposition theorem of completely simple semigroups, the Ellis–Żelazko theorem, the convolution factorization theorem of convolution idempotents, and the convolution factorization theorem of cluster points of infinite convolutions.

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来源期刊

Probability Surveys STATISTICS & PROBABILITY-

CiteScore

4.70

自引率

0.00%

发文量