Recurrence Relation and Accurate Value on Inverse Moment of Discrete Distributions

Abstract

Properties of the generalized hypergeometric series functions are employed to get the recurrence relation for inverse moments and inverse factorial moments of some discrete distributions. Meanwhile, with the existence of the recurrence relations, the accurate value for inverse moment of discrete distributions can thus be obtained.

Application of Hypergeometric Series in the Inverse Moments of Special Discrete Distribution*

“…At present, more and more scholars are interested in the study of inverse moment, and have a wealth of research results mainly binomial distribution, Poisson distribution, negative binomial distribution, logarithmic distribution (see [5]). In this paper describes the use of generalized hypergeometric series inverse moments and factorial inverse moment distribution of some.…”