Article ID Journal Published Year Pages File Type
1154946 Statistics & Probability Letters 2007 4 Pages PDF
Abstract

In this note we are concerned with the sums S=Y1+Y2+⋯+YnS=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.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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