
doi: 10.1007/bf02504628
An alternative simple derivation is given for some integral expressions for tail probabilities of the negative multinomial distribution obtained by Olkin & Sobel [3] inBiometrika. The new derivation is based on the fact that the negative multinomial distribution is a certain mixture of the multiple Poisson distribution and on a well known integral expression for the distribution function of the univariate Poisson distribution.
Characterization and structure theory of statistical distributions
Characterization and structure theory of statistical distributions
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