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Post estimation and prediction strategies in negative binomial regression model

International Journal of Modelling and Simulation, 2020
We addressed parameter estimation for low-dimensional and high-dimensional negative binomial regression models in the presence of overfitting and uncertainty about the subspace information.
S. Lisawadi, S. Ahmed, O. Reangsephet
semanticscholar   +1 more source

Semiparametric Negative Binomial Regression Models

Communications in Statistics - Simulation and Computation, 2010
Negative-binomial (NB) regression models have been widely used for analysis of count data displaying substantial overdispersion (extra-Poisson variation). However, no formal lack-of-fit tests for a postulated parametric model for a covariate effect have been proposed. Therefore, a flexible parametric procedure is used to model the covariate effect as a
openaire   +1 more source

Negative Binomial Regression

Wiley StatsRef: Statistics Reference Online, 2020
Negative binomial regression is a generalization of Poisson regression which loosens the restrictive assumption that the variance is equal to the mean made by the Poisson model.
E. Juarez-colunga, C. Dean
semanticscholar   +1 more source

A new bivariate negative binomial regression model

AIP Conference Proceedings, 2014
This 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
openaire   +1 more source

Negative binomial and mixed Poisson regression

Canadian Journal of Statistics, 1987
AbstractA 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.
openaire   +2 more sources

The Multivariate Mixed Negative Binomial Regression Model with an Application to Insurance a Posteriori Ratemaking

Insurance, Mathematics & Economics, 2021
G. Tzougas   +1 more
semanticscholar   +1 more source

On the bivariate negative binomial regression model

Journal of Applied Statistics, 2010
In 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.
openaire   +1 more source

Negative binomial regression with application in autorating

1998
Thesis - Athens University of Economics and Business.
openaire   +1 more source

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