Likelihood Ratio and Strong Limit Theorems for the Discrete Random Variable

Wenhan Li, Wei Wang, Zhiqiang Liu

College of Mathematics and Physics, Shijiazhuang University of Economics, Shijiazhuang, China.
Science College, Beijing University of Civil Engineering and Architecture, Beijing, China.

DOI: 10.4236/ojdm.2012.24034                

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.

Keywords

Likelihood Ratio; Strong Limit Theorem; Moment Generating Function

Conflicts of Interest

The authors declare no conflicts of interest.

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