幂级数分布的一些极限性质

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2022-06-01 DOI:10.1515/dma-2022-0017

Yu Miao, Yanyan Tang, Xiaoming Qu, Guangyu Yang

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引用次数: 0

摘要

摘要本文考虑了广义分配方案研究中经常用到的幂级数分布的随机变量。我们建立了一些渐近性质，包括大数定律、中等偏差原理、几乎确定的中心极限定理和局部极限定理中的收敛速度。这些结果补充了a.v. Kolchin的结果。

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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On some limit properties for the power series distribution

Abstract In the present paper, we consider random variables with the power series distribution which is often used in the study of the generalized allocation scheme. We establish some asymptotic properties which include law of large numbers, moderate deviation principle, almost sure central limit theorem and the rate of convergence in the local limit theorem. These results supplements results obtained by A. V. Kolchin.

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来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.