Negative binomial and mixed Poisson regression. (English) Zbl 0632.62060
A 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.
MSC:
| 62J02 | General nonlinear regression |
| 62F12 | Asymptotic properties of parametric estimators |
| 62F35 | Robustness and adaptive procedures (parametric inference) |
| 62E20 | Asymptotic distribution theory in statistics |
Keywords:
moment estimation; testing Poisson assumptions; overdispersion; extra- Poisson variation; regression analysis of count data; negative-binomial regression models; efficiency; robustness properties of inference procedures; quasilikelihood methodsReferences:
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