卷积密度的拉普拉斯变换衰减

IF 2.1 1区数学 Q1 STATISTICS & PROBABILITY

Annals of Probability Pub Date : 2023-09-01 DOI:10.1214/23-aop1625

Sergey G. Bobkov

引用次数: 0

摘要

根据相关的拉普拉斯变换和勒让德变换，考虑有界密度卷积的上点边界。这些界限的应用在中心极限定理中得到了关于r散度的说明。

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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Decay of convolved densities via Laplace transform

Upper pointwise bounds are considered for convolution of bounded densities in terms of the associated Laplace and Legendre transforms. Applications of these bounds are illustrated in the central limit theorem with respect to the Rényi divergence.

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来源期刊

Annals of Probability 数学-统计学与概率论

CiteScore

4.60

自引率

8.70%

发文量

审稿时长

6-12 weeks

期刊介绍： The Annals of Probability publishes research papers in modern probability theory, its relations to other areas of mathematics, and its applications in the physical and biological sciences. Emphasis is on importance, interest, and originality – formal novelty and correctness are not sufficient for publication. The Annals will also publish authoritative review papers and surveys of areas in vigorous development.