Stochastic Orders Comparisons of Negative Binomial Distribution with Negative Binomial—Lindley Distribution

Chookait Pudprommarat, Winai Bodhisuwan

Department of Statistics, Kasetsart University, Bangkok, Thailand.

DOI: 10.4236/ojs.2012.22025                

Abstract

The purpose of this study is to compare a negative binomial distribution with a negative binomial—Lindley by using stochastic orders. We characterize the comparisons in usual stochastic order, likelihood ratio order, convex order, expectation order and uniformly more variable order based on theorem and some numerical example of comparisons between negative binomial random variable and negative binomial—Lindley random variable.

Keywords

Stochastic Orders; Negative Binomial Distribution; Negative Binomial—Lindley Distribution

Conflicts of Interest

The authors declare no conflicts of interest.

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