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Cumulants of multinomial and negative multinomial distributions
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Christopher S Withers +1 more
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Tables of unbiased estimators with minimal variances for functions of the parameters of multinomial and negative multinomial distributions are collected. Bibliography: 10 titles.
M. S. Nikulin, V.G. Voinov
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Characterizations of negative multinomial distributions based on conditional distributions
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Yining Wang
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Masahiko Sagae, Kunio Tanabe
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A characterization of multinomial and negative multinomial distributions
Abstract The intent of this paper is to show that the independent random vectors x and y have multinomial (negative mUltinomial) distributions with the same parameter vector o, and the other parameters being respectively m and n if and only if the conditional distribution of x given x + y is multivariate hypergeometric (multivariate inverse ...
K. G. Janardan
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Domain of existence of the Laplace transform of negative multinomial distributions and simulations
A probability distribution \( \sum_{\boldsymbol{\alpha} \in \mathbb{N}^n} p_{\boldsymbol{\alpha}}\delta_{\boldsymbol{\alpha}}\) on the set of nonnegative integers \(\mathbb{N}^n\) is said to be a negative multinomial distribution if there exists an affine polynomial \(P(z_1,\dots , z_n)\) and \(\lambda >0\) such that \[ \sum_{\boldsymbol{\alpha} \in ...
Philippe Bernardoff
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Bayesian analysis of finite mixtures of multinomial and negative-multinomial distributions
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M.J. Rufo +2 more
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Log-Linear Modeling with the Negative Multinomial Distribution
We develop a negative multinomial sampling plan in which observed cell counts are positively correlated. We show that maximum likelihood estimates of cell means are the same as those found under independent Poisson sampling. There is no maximum likelihood estimate for the shape parameter in general.
Lance A. Waller, Daniel Zelterman
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The modes of a negative multinomial distribution
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Françoise Le Gall
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