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The Hyper‐Negative Binomial Distribution

Biometrical Journal, 1987
AbstractA 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, 1986
This 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, 2000
This 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, 2015
This 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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Nexus between air pollution and NCOV-2019 in China: Application of negative binomial regression analysis

Chemical Engineering Research and Design, 2021
Wasim Iqbal, Yuk Ming Tang, Ka-Yin Chau
exaly  

Flood susceptibility mapping by ensemble evidential belief function and binomial logistic regression model on river basin of eastern India

Advances in Space Research, 2020
Indrajit Chowdhuri   +2 more
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Modeling microbial abundances and dysbiosis with beta-binomial regression

Annals of Applied Statistics, 2020
Bryan D Martin   +2 more
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