On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables

On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables

Year:    2022

Author:    Jing Song, Shu Chen, Zhongzhi Wang

Journal of Mathematical Study, Vol. 55 (2022), Iss. 2 : pp. 206–215

Abstract

In this article, by using the notion of general relative entropy as a measure of dependence of random variables, a kind of strong deviation theorems for the averages of array of integer-valued random variables are established. At the end of this paper, we give the upper and lower bounds for general moving averages of the form.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v55n2.22.07

Journal of Mathematical Study, Vol. 55 (2022), Iss. 2 : pp. 206–215

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Generating function strong deviation theorem general relative entropy.

Author Details

Jing Song

Shu Chen

Zhongzhi Wang