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On a generalized non-central negative binomial distribution
Communications in Statistics - Theory and Methods, 1986On considere une generalisation de la loi binomiale negative non centree qui est une convolution des variables binomiales negatives et pseudo ...
S.H. Ong, P.A. Lee
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Bootstrap based tests for generalized negative binomial distribution
Computing, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Two Characteristic Properties of the Generalized Negative Binomial Distribution
Biometrical Journal, 1991AbstractInfinite divisibility condition and a relation between the mean and variance are used to characterize the generalized negative binomial distribution.
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The Generalized Negative Binomial Distribution and its Characterization by Zero Regression
SIAM Journal on Applied Mathematics, 1980The generalized negative binomial distribution (GNB) was defined by Jamn and Consul (SIAM J. Appl. Math., 21 (1971)), and was obtained as a particular family of Lagrangian-distributions by Consul and Shenton (SIAM J. Appl. Math., 23 (1972)). It has been shown by the conditions of Lagrange theorem that the GNB is a true probability distribution only for
Consul, P. C., Gupta, H. C.
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On Generalized Binomial and Negative Binomial Distributions for Dependent Bernoulli Variables
Communications in Statistics - Theory and Methods, 2014We study the distributions of the random variables Sn and Vr related to a sequence of dependent Bernoulli variables, where Sn denotes the number of successes in n trials and Vr the number of trials necessary to obtain r successes. The purpose of this article is twofold: (1) Generalizing some results on the “nature” of the binomial and negative binomial
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Compound Poisson law generalized by negative binomial distribution
Computational Mathematics and Modeling, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belov, A. G. +2 more
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Parameter estimation for generalized negative binomial distribution
Communications in Statistics - Simulation and Computation, 1997The generalized negative binomial distribution (GNBD) has been found useful in the problems of random walk, queuing theory and branching processes. In this paper, GNBD parameters are estimated by the methods of (a) maximum likelihood, (b) fist two moments and proportion of zeros, (c) fit two moments and ratio of the first two frequencies, and (d ...
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A Third Interpretation for the Generating Process of the Negative Binomial Distribution
American Sociological Review, 19781969a Census of Business: 1967. Retail Trade. BC67; Report for Each State. Washington, D.C.: U.S. Government Printing Office. 1969b Census of Business: 1967. Wholesale Trade. BC67; Report for Each State. Washington, D.C.: U.S. Government Printing Office. 1970 Census of Manufacturers: 1967. Area Series:MC67 (3); Report for Each State.
William W. Eaton, Andree Fortin
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SIAM Journal on Applied Mathematics, 1978
Bardwell’s results are applied to provide a convenient method for calculating moments and other properties of the generalized negative binomial distribution.
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Bardwell’s results are applied to provide a convenient method for calculating moments and other properties of the generalized negative binomial distribution.
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Biometrical Journal, 2005
We prove that the generalized Poisson distribution GP(theta, eta) (eta > or = 0) is a mixture of Poisson distributions; this is a new property for a distribution which is the topic of the book by Consul (1989). Because we find that the fits to count data of the generalized Poisson and negative binomial distributions are often similar, to understand ...
Harry, Joe, Rong, Zhu
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We prove that the generalized Poisson distribution GP(theta, eta) (eta > or = 0) is a mixture of Poisson distributions; this is a new property for a distribution which is the topic of the book by Consul (1989). Because we find that the fits to count data of the generalized Poisson and negative binomial distributions are often similar, to understand ...
Harry, Joe, Rong, Zhu
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