OJS  Vol.2 No.2 , April 2012
Stochastic Orders Comparisons of Negative Binomial Distribution with Negative Binomial—Lindley Distribution
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.

Cite this paper
C. Pudprommarat and W. Bodhisuwan, "Stochastic Orders Comparisons of Negative Binomial Distribution with Negative Binomial—Lindley Distribution," Open Journal of Statistics, Vol. 2 No. 2, 2012, pp. 208-212. doi: 10.4236/ojs.2012.22025.
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