TITLE:
Likelihood Ratio and Strong Limit Theorems for the Discrete Random Variable
AUTHORS:
Wenhan Li, Wei Wang, Zhiqiang Liu
KEYWORDS:
Likelihood Ratio; Strong Limit Theorem; Moment Generating Function
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.2 No.4,
November
1,
2012
ABSTRACT: This in virtue of the notion of likelihood ratio and the tool of moment generating function, the limit properties of the sequences of random discrete random variables are studied, and a class of strong deviation theorems which represented by inequalities between random variables and their expectation are obtained. As a result, we obtain some strong deviation theorems for Poisson distribution and binomial distribution.