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

Authors

  • Jing Song School of Mathematics & Physics, AnHui University of Technology, Ma’anshan 243002, China
  • Shu Chen School of Mathematics & Physics, AnHui University of Technology, Ma’anshan 243002, China
  • Zhongzhi Wang School of Mathematics & Physics, AnHui University of Technology, Ma’anshan 243002, China

DOI:

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

Keywords:

Generating function, strong deviation theorem, general relative entropy.

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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Published

2022-04-25

Issue

Vol. 55 No. 2 (2022)

Section

Articles