Generalized bivariate count data regression models

Gurmu, Shiferaw; Elder, John P.

doi:10.1016/s0165-1765(00)00225-1

Cited by 56 publications

(51 citation statements)

References 3 publications

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“…Munkin and Trivedi (1999) described multivariate mixed Poisson regression models based on this type of mixing and a gamma mixing distribution. Gurmu and Elder (2000) used an extended gamma density as a mixing distribution. This approach also has a randomeffect representation if covariates are used.…”

Section: Mixed Bivariate Poisson Modelsmentioning

confidence: 99%

A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking

Bermúdez

Karlis

2012

Computational Statistics & Data Analysis

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Bivariate Poisson regression models for ratemaking in car insurance has been previously used. They included zero-inflated models to account for the excess of zeros and the overdispersion in the data set. These models are now revisited in order to consider alternatives. A 2-finite mixture of bivariate Poisson regression models is used to demonstrate that the overdispersion in the data requires more structure if it is to be taken into account, and that a simple zero-inflated bivariate Poisson model does not suffice. At the same time, it is shown that a finite mixture of bivariate Poisson regression models embraces zero-inflated bivariate Poisson regression models as a special case. Finally, an EM algorithm is provided in order to ensure the models' ease-offit. These models are applied to an automobile insurance claims data set and it is shown that the modelling of the data set can be improved considerably.

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Section: Mixed Bivariate Poisson Modelsmentioning

confidence: 99%

A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking

Bermúdez

Karlis

2012

Computational Statistics & Data Analysis

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“…Furthermore, the approximation is more accurate if locations are defined in regions where the function is non zero, and if the integral function is a smooth one. 7 Other alternatives are based on series expansions of the random effects distribution (Gurmu and Elder 2000).…”

Section: The Modelmentioning

confidence: 99%

Corporate social responsibility and firm efficiency: a latent class stochastic frontier analysis

Becchetti

Trovato

2011

J Prod Anal

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The nexus between corporate social responsibility and corporate performance is of fundamental importance to understand if the former can be a sustainable strategy in the competitive race. In this paper we test this relationship on a sample of firms observed in a 13-year interval by focusing on a performance indicator (productive efficiency) seldom explored in this literature with a novel approach (latent class stochastic frontiers). Our empirical findings show that firms included in the Domini 400 index (a CSR stock market index) do not appear to be more distant from the production frontier than firms in the control sample after controlling for the heterogeneity of production structure.

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“…Although there is a large literature in this area (Cameron and Trivedi, 1998), relatively little deals with multivariate counts. These have been studied in simplified cases with restricted correlation structures by Jung and Winkelmann (1993) and Gurmu and Elder (2000). More recently, Munkin and Trivedi (1999) use maximum simulated likelihood methods and Chib and Winkelmann (2001) use Bayesian methods to model correlated counts in a flexible fashion.…”

Section: Introductionmentioning

confidence: 99%

Are Primary Care Physicians, Public and Private Sector Specialists Substitutes or Complements? Evidence from a Simultaneous Equations Model for Count Data

Atella

Deb

2004

SSRN Journal

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In this paper, we examine the relationships between health care visits to general practitioners, public and private sector specialists using data from Italy, which has a mixed public-private health care system. We develop a simultaneous equations model that allows for the discreteness of measures of utilization and estimate this model using maximum simulated likelihood. Once common unobserved heterogeneity is properly accounted for, general practitioners, public and private specialists are found to be substitute sources of medical care. In contrast, a naive model finds they are complements.

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Generalized bivariate count data regression models

Cited by 56 publications

References 3 publications

A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking

A finite mixture of bivariate Poisson regression models with an application to insurance ratemaking

Corporate social responsibility and firm efficiency: a latent class stochastic frontier analysis

Are Primary Care Physicians, Public and Private Sector Specialists Substitutes or Complements? Evidence from a Simultaneous Equations Model for Count Data

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