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The Hyper‐Negative Binomial Distribution
Biometrical Journal, 1987AbstractA generalized family of the negative binomial distribution is introduced in a paper by Srivastava, Yousry and Ahmed (1986). It is a solution of the difference equation equation image and is called the hyper‐negative binomial distribution. Certain properties including the moments of the distribution are presented.
Yousry, M. A., Srivastava, R. C.
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Fitting the Negative Binomial Distribution
Biometrics, 1986This note is a reaction to recent papers in this journal by Willson, Folks, and Young (1984) and Bowman (1984). For the biometrical analysis of certain kinds of observations, such as insect counts, accident counts, or cave entrance counts, when only nonnegative integers are observable, it is expedient to restrict attention to those random variables ...
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Seemingly Unrelated Negative Binomial Regression
Oxford Bulletin of Economics and Statistics, 2000This paper discusses the specification and estimation of seemingly unrelated multivariate count data models. A new model with negative binomial marginals is proposed. In contrast to a previous model based on the multivariate Poisson distribution, the new model allows for over‐dispersion, a phenomenon that is frequently encountered in economic count ...
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Convolution of Binomial and Negative Binomial Variables
Communications in Statistics - Theory and Methods, 2015This paper considers a distribution formed by convolution of binomial and negative binomial variables. The distribution has the flexibility to adapt to the model under, equi, and over dispersion. Some properties of the proposed distribution are discussed, including characterization.
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Modeling microbial abundances and dysbiosis with beta-binomial regression
Annals of Applied Statistics, 2020Bryan D Martin +2 more
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Jeffreys-prior penalty, finiteness and shrinkage in binomial-response generalized linear models
Biometrika, 2021Ioannis Kosmidis, David Firth
exaly

