%0 Journal Article
%T Stochastic Orders Comparisons of Negative Binomial  Distribution with Negative Binomial¡ªLindley Distribution
%A Chookait Pudprommarat
%A Winai Bodhisuwan
%J Open Journal of Statistics
%P 208-212
%@ 2161-7198
%D 2012
%I Scientific Research Publishing
%R 10.4236/ojs.2012.22025
%X The purpose of this study is to compare a negative binomial distribution with a negative binomial¡ªLindley 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¡ªLindley random variable.
%K Stochastic Orders
%K Negative Binomial Distribution
%K Negative Binomial¡ªLindley Distribution
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=18602