On Small Deviation Theorems for Moving Averages of Dependent Integer-Valued Random Sequence
Abstract: In this paper, the notion of moving likelihood ratio, as a measure of the deviation of a sequence of integer-valued random variables from an independent random sequence with geometric distribution, is intro-duced. By restricting the moving likelihood ratio, a certain subset of the sample space is given, and on this subset, a class of strong laws, represented by inequalities, are obtained. These strong laws contain some limit properties of the sequence of integer-valued random variables, concerning relative entropy density and the entropy function of geometric distribution.
文章引用: 孟飞 , 庄丹琴 , 汪忠志 (2011) 关于整值随机序列滑动平均的若干小偏差定理。 理论数学， 1， 114-118. doi: 10.12677/pm.2011.12023
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