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Likelihood Ratio and Strong Limit Theorems for the Discrete Random Variable
College of Mathematics and Physics, Shijiazhuang University of Economics, Shijiazhuang, China
College of Mathematics and Physics, Shijiazhuang University of Economics, Shijiazhuang, China
Science College, Beijing University of Civil Engineering and Architecture, Beijing, China
- 1 College of Mathematics and Physics, Shijiazhuang University of Economics, Shijiazhuang, China
- 2 College of Mathematics and Physics, Shijiazhuang University of Economics, Shijiazhuang, China
- 3 Science College, Beijing University of Civil Engineering and Architecture, Beijing, China
Open Journal of Discrete Mathematics·Volume 02 (2012)·Pages 169–172·Published 31 October 2012·DOI10.4236/ojdm.2012.24034
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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.
KeywordsLikelihood RatioStrong Limit TheoremMoment Generating Function
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