On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables
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@Article{JMS-55-206,
author = {Song , JingChen , Shu and Wang , Zhongzhi},
title = {On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {2},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v55n2.22.07}, url = {http://global-sci.org/intro/article_detail/jms/20496.html} }
TY - JOUR
T1 - On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables
AU - Song , Jing
AU - Chen , Shu
AU - Wang , Zhongzhi
JO - Journal of Mathematical Study
VL - 2
SP - 206
EP - 215
PY - 2022
DA - 2022/04
SN - 55
DO - http://doi.org/10.4208/jms.v55n2.22.07
UR - https://global-sci.org/intro/article_detail/jms/20496.html
KW - Generating function, strong deviation theorem, general relative entropy.
AB -
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.
Song , JingChen , Shu and Wang , Zhongzhi. (2022). On Strong Deviation Theorems Concerning Arrays of Non-Negative Integer-Valued Random Variables.
Journal of Mathematical Study. 55 (2).
206-215.
doi:10.4208/jms.v55n2.22.07
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