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Overdispersed negative binomial regression models
Communications in Statistics - Theory and Methods, 1992Overdispersion is a common phenomenon in actual data sets. It is important to have methods of dealing with extra variation in regression situations. This article develops tests for extra-negative binomial variation and gives some numerical methods to deal with it.
Dixi Xue, James A. Deddens
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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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The VGAM package for negative binomial regression
Australian & New Zealand Journal of Statistics, 2020Negative binomial (NB) regression is the most common full‐likelihood method for analysing count data exhibiting overdispersion with respect to the Poisson distribution. Usually most practitioners are content to fit one of two NB variants, however other important variants exist.
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On the bivariate negative binomial regression model
Journal of Applied Statistics, 2010In this paper, a new bivariate negative binomial regression (BNBR) model allowing any type of correlation is defined and studied. The marginal means of the bivariate model are functions of the explanatory variables. The parameters of the bivariate regression model are estimated by using the maximum likelihood method.
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A new bivariate negative binomial regression model
AIP Conference Proceedings, 2014This paper introduces a new form of bivariate negative binomial (BNB-1) regression which can be fitted to bivariate and correlated count data with covariates. The BNB regression discussed in this study can be fitted to bivariate and overdispersed count data with positive, zero or negative correlations. The joint p.m.f.
Pouya Faroughi, Noriszura Ismail
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Negative binomial and mixed Poisson regression
Canadian Journal of Statistics, 1987AbstractA number of methods have been proposed for dealing with extra‐Poisson variation when doing regression analysis of count data. This paper studies negative‐binomial regression models and examines efficiency and robustness properties of inference procedures based on them. The methods are compared with quasilikelihood methods.
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Negative binomial regression with application in autorating
1998Thesis - Athens University of Economics and Business.
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Improving Estimation of Regression Parameters in Negative Binomial Regression Model
2018In this study, we proposed a preliminary test strategy that incorporated subspace information into parameter estimation using a negative binomial regression model. The relative performance of proposed estimators was investigated through both Monte Carlo simulations and application to a real dataset, using the classical maximum likelihood estimator as ...
Orawan Reangsephet +2 more
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A Negative Binomial Regression Model for Accuracy Tests
Applied Psychological Measurement, 2012Rasch used a Poisson model to analyze errors and speed in reading tests. An important property of the Poisson distribution is that the mean and variance are equal. However, in social science research, it is very common for the variance to be greater than the mean (i.e., the data are overdispersed).
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