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Restricted generalized Poisson regression model. (English) Zbl 0784.62018

Summary: The family of generalized Poisson distributions has been found useful in describing over-dispersed and under-dispersed count data. We propose the use of restricted generalized Poisson regression models to predict a response variable affected by one or more explanatory variables. Approximate tests for the adequacy of the model and the estimation of the parameters are considered. A restricted generalized Poisson regression model has been applied to an observed data set.

MSC:

62F10 Point estimation
62J99 Linear inference, regression
62F03 Parametric hypothesis testing
62E20 Asymptotic distribution theory in statistics
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