TITLE:
Stochastic Orders Comparisons of Negative Binomial Distribution with Negative Binomial—Lindley Distribution
AUTHORS:
Chookait Pudprommarat, Winai Bodhisuwan
KEYWORDS:
Stochastic Orders; Negative Binomial Distribution; Negative Binomial—Lindley Distribution
JOURNAL NAME:
Open Journal of Statistics,
Vol.2 No.2,
April
23,
2012
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.