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Probability generating functions of a MPSD with applications 

Author: Pushpa Lata Gupta
DOI: 10.1080/02331888208801632
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 13, Issue 1 1982 , pages 99 - 103
Formats available: PDF (English)
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Abstract

In this paper, a general method of obtaining the probability generating function (pgf) of a Modified Power Series distribution (MPSD), introduced by GUPTA (1974), is presented. This method is employed to derive the pgf of generalized negative binomial, generalized Poisson, generalized logarithmic series and the lost game distribution.
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