Transition models for count data: a flexible alternative to fixed distribution models

Moritz Berger () and Gerhard Tutz
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Moritz Berger: Medizinische Fakultät, Universität Bonn
Gerhard Tutz: Ludwig-Maximilians-Universität München

Statistical Methods & Applications, 2021, vol. 30, issue 4, No 8, 1259-1283

Abstract: Abstract A flexible semiparametric class of models is introduced that offers an alternative to classical regression models for count data as the Poisson and Negative Binomial model, as well as to more general models accounting for excess zeros that are also based on fixed distributional assumptions. The model allows that the data itself determine the distribution of the response variable, but, in its basic form, uses a parametric term that specifies the effect of explanatory variables. In addition, an extended version is considered, in which the effects of covariates are specified nonparametrically. The proposed model and traditional models are compared in simulations and by utilizing several real data applications from the area of health and social science.

Keywords: Count data; Smoothing; Transition model; Varying coefficients; Zero-inflated model (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10260-021-00558-6

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