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Negative binomial regression [PDF]

Stata Technical Bulletin, 1994
Joseph Hilbe
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Compound Negative Binomial-Binomial Risk Model

2014 Sixth International Conference on Measuring Technology and Mechatronics Automation, 2014
A class of compound negative binomial-binomial risk model is investigated in this work. Based on this model, the adjusting coefficients are discussed by using the martingale analysis method. Then, the expression of the final bankruptcy probability and the Lundberg inequality are derived of insurance company under the condition that the initial reserve ...
Lv Jing, Xie Shan, Liu Zhifeng
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Generalized Negative Binomial Distributions

Journal of Statistical Physics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Negative binomial processes

Journal of Applied Probability, 1969
Summary This paper is concerned with negative binomial processes which are essentially mixed Poisson processes whose intensity parameter is given by the sum of squares of a finite number of independently and identically distributed Gaussian processes.
Barndorff-Nielsen, Ole, Yeo, G. F.
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THE TRUNCATED NEGATIVE BINOMIAL DISTRIBUTION

Biometrika, 1955
(1920), Fisher (1941), Haldane (1941), Anscoinbe (1950) and Bliss & Fisher (1953), and is extensively used for the description of data too heterogeneous to be fitted by a Poisson distribution. Observed samples, however, may be truncated, in the sense that the number of individuals falling into the zero class cannot be determined.
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Statistical Inference Involving Binomial and Negative Binomial Parameters

The Spanish journal of psychology, 2009
Statistical inference about two binomial parameters implies that they are both estimated by binomial sampling. There are occasions in which one aims at testing the equality of two binomial parameters before and after the occurrence of the first success along a sequence of Bernoulli trials. In these cases, the binomial parameter before the first success
Miguel A, García-Pérez, Vicente, Núñez-Antón   +1 more
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Truncated Binomial and Negative Binomial Distributions

Journal of the American Statistical Association, 1955
(1955). Truncated Binomial and Negative Binomial Distributions. Journal of the American Statistical Association: Vol. 50, No. 271, pp. 877-883.
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A Generalized Negative Binomial Distribution

SIAM Journal on Applied Mathematics, 1971
A generalized negative binomial (GNB) distribution with an additional parameter $\beta $ has been obtained by using Lagrange’s expansion. The parameter is such that both mean and variance tend to increase or decrease with an increase or decrease in its value but the variance increases or decreases faster than the mean.
Jain, G. C., Consul, P. C.
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Extended negative binomial hurdle models

Statistical Methods in Medical Research, 2018
Poisson models are widely used for statistical inference on count data. However, zero-inflation or zero-deflation with either overdispersion or underdispersion could occur. Currently, there is no available model for count data, that allows excessive occurrence of zeros along with underdispersion in non-zero counts, even though there have been reported
Maengseok Noh, Youngjo Lee
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Negative binomial regression

2007
This second edition of Hilbe's Negative Binomial Regression is a substantial enhancement to the popular first edition. The only text devoted entirely to the negative binomial model and its many variations, nearly every model discussed in the literature is addressed. The theoretical and distributional background of each model is discussed, together with
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