On the Convolution of the Negative Binomial Random Variables

In this note we are concerned with the sums S = Y1, Y2, Yn, where every constituent follows the negative binomial distribution with arbitrary parameters. We derive the exact probability mass function and the cumulative probability function of S. We also show that one can relate to the distribution of S as a mixture negative binomial distribution

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Year of publication:	2010
Authors:	Furman, Edward
Publisher:	[S.l.] : SSRN

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Extent:	1 Online-Ressource (6 p)
Type of publication:	Book / Working Paper
Language:	English
Notes:	In: Statistics and Probability Letters, Vol. 77, No. 2, 2006 Nach Informationen von SSRN wurde die ursprüngliche Fassung des Dokuments July 28, 2006 erstellt
Source:	ECONIS - Online Catalogue of the ZBW

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