Moments of the Negative Multinomial Distribution
Mathematical and Computational Applications, 2023 The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data.
Frédéric Ouimet
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Comparative poisson clinical trials of multiple experimental treatments vs a single control using the negative multinomial distribution. [PDF]
Stat Med, 2021 AbstractThis paper introduces a method which conditions on the number of events that occur in the control group to determine rejection regions and power for comparative Poisson trials with multiple experimental treatment arms that are each compared to one control arm.
Chiarappa JA, Hoover DR.
europepmc +5 more sources
Negative binomial and multinomial states: Probability distributions and coherent states [PDF]
Journal of Mathematical Physics, 1997 Following the relationship between probability distribution and coherent states, for example the well known Poisson distribution and the ordinary coherent states and relatively less known one of the binomial distribution and the $su(2)$ coherent states ...
Hong-Chen Fu, Ryu Sasaki
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Compound Power Series Distribution with Negative Multinomial Summands
Revstat Statistical Journal, 2022 The paper considers a multivariate distribution whose coordinates are compounds. The number of the summands is itself also a multivariate compound with one and the same univariate Power series distributed number of summands and negative multinomially ...
Pavlina Jordanova +2 more
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Which negative multinomial distributions are infinitely divisible? [PDF]
Bernoulli, 2003 A general class of negative multinomial distributions on \(\mathbb N_0^n\) is defined by its probability generating functions to be of the form \((A(a_1,\dots,a_n)/A(a_1z_1,\dots,a_nz_n))^\lambda\) for some \(\lambda>0\) and some function \( A(\mathbf z)=\sum_{T\subset\{1,\dots,n\}}a_T\prod_{i\in T}z_i\).
Philippe Bernardoff
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A note on a variance bound for the multinomial and the negative multinomial distribution [PDF]
Naval Research Logistics (NRL), 2014 8 ...
Giorgos Afendras, Vassilis Papathanasiou
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Domain of existence of the Laplace transform of infinitely divisible negative multinomial distributions [PDF]
, 2021 This article provides the domain of existence $Ω$ of the Laplace transform of infinitely divisible negative multinomial distributions. We define a negative multinomial distribution on $\mathbb{N}^{n},$ where $\mathbb{N}$ is the set of nonnegative integers, by its probability generating function which will be of the form $\left( A\left( a_{1}z_{1 ...
BERNARDOFF, PHILIPPE
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Masses of Negative Multinomial Distributions: Application to Polarimetric Image Processing [PDF]
Journal of Probability and Statistics, 2013 This paper derives new closed-form expressions for the masses of negative multinomial distributions. These masses can be maximized to determine the maximum likelihood estimator of its unknown parameters. An application to polarimetric image processing is investigated. We study the maximum likelihood estimators of the polarization degree of polarimetric
Philippe Bernardoff +2 more
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A Characterization of the Negative Multinomial Distribution [PDF]
, 1981 This paper deals with a characterization of the negative multinomial distribution. It is based on the assumption that the conditional distribution of two random vectors is multivariate inverse hypergeometric. It makes use essentially of a multivariate analogue of a condition known in the literature as the Rao-Rubin condition.
John Panaretos
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Compound negative binomial distribution with negative multinomial summands
AIP Conference Proceedings, 2016 The class of Negative Binomial distributions seems to be introduced by Greenwood and Yule in 1920. Due to its wide spread application, investigations of distributions, closely related with it will be always contemporary. Bates, Neyman and Wishart introduce Negative Multinomial distribution.
Pavlina Jordanova +2 more
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