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Negative multinomial distribution
This paper reviews properties of the negative multinomial distribution and some related distributions. On the negative binomial distribution (NBn) much has been wri t ten and the contributions were summarized in two recent survey reports ([3], [9]). In the course of researches on the NBn its multivariate extension has been tried.
Masaaki Sibuya +2 more
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INTRODUCTION In the generalization of Bernoulli trials where we have k possible outcomes of each trial, k let the probability of the ith outcome in each trial be pi (i = 1,...,k) where Pi= 1. i=l For a fixed number of trials (n), the probability of exactly x1 occurrences of outcome 1, x2 of 2, ..., Xk of k is given by the multinomial distribution.
James E. Mosimann
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Lenk, Rao and Tibrewala (1993) have introduced a Negative Multinomial Distribution derived from a nonstationary Poisson process with intensity function , which incorporates marketing mix variables. It is shown that under certain conditions, the maximum likelihood estimates of the parameters of the proposed model do not exist.
J. K. Ghorai, Sanjoy Ghose
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Conditionally negative association resulting from multinomial distribution
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Demei Yuan, Jianhua Zheng
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Integral expressions for tail probabilities of the negative multinomial distribution
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 ...
S. W. Joshi
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Maximum likelihood estimation for the negative multinomial log-linear model
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Empirical Bayes method in the study of traffic safety via heterogeneous negative multinomial model
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