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.