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.
Highlights
Introduction and PreliminariesKumar and Consul [1] develop a recursive relation upon the negative moments of power series distribution
The following series have been provided by Ahmad and Saboor [3] and pFq [(a1, k), (a2, k), . . . , ; (b1, k), (b2, k), . . . , apk bqk z
The recurrence relation for negative moments along with negative factorial moments of some discrete distributions can be obtained. These relations have been derived with properties of the hypergeometric series
Summary
Kumar and Consul [1] develop a recursive relation upon the negative moments of power series distribution. The recurrence relation for negative moments along with negative factorial moments of some discrete distributions can be obtained These relations have been derived with properties of the hypergeometric series. Let X be a generalized negative binomially distributed random variable with parameters θ, β and the probability mass function is. Since X is a generalized negative binomial random ters λ, θ and the probability mass function is variable with parameters θ, β, (θ) e−λ(1+θx) λx Let the random variable X be equipped with a generalized poisson-negative-binomial distribution with parameters λ, θ, and β; the probability mass function is. Let X be a generalized logarithmic distributed random variable with parameters θ and β; the probability mass function is.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
