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Semiparametric Kernel Poisson Regression for Longitudinal Count Data

  • Hwang, Chang-Ha (Department of Statistics, Dankook University) ;
  • Shim, Joo-Yong (Department of Applied Statistics, Catholic University of Daegu)
  • Published : 2008.11.30

Abstract

Mixed-effect Poisson regression models are widely used for analysis of correlated count data such as those found in longitudinal studies. In this paper, we consider kernel extensions with semiparametric fixed effects and parametric random effects. The estimation is through the penalized likelihood method based on kernel trick and our focus is on the efficient computation and the effective hyperparameter selection. For the selection of hyperparameters, cross-validation techniques are employed. Examples illustrating usage and features of the proposed method are provided.

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