Scientific Research Publishing

The Conditional Poisson Process and the Erlang and Negative Binomial Distributions ()

It is a well known fact that for the hierarchical model of a Poisson random variable Y whose mean has an Erlang distribution, the unconditional distribution of Y is negative binomial. However, the ...
Scientific Research Publishing

N. Misra, H. Singh and E. J. Harner, “Stochastic Comparisons of Poisson and Binomial Random Variables with Their Mixtures,” Statistics and Probability Letters, Vol. 65, No ...

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 ...