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Semi Varying Coefficient Zero-Inflated Generalized Poisson Regression Model

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  • Weihua Zhao
  • Riquan Zhang
  • Jicai Liu
  • Yazhao Lv

Abstract

In this paper, the semi varying coefficient zero-inflated generalized Poisson model is discussed based on penalized log-likelihood. All the coefficient functions are fitted by penalized spline (P-spline), and Expectation-maximization algorithm is used to drive these estimators. The estimation approach is rapid and computationally stable. Under some mild conditions, the consistency and the asymptotic normality of these resulting estimators are given. The score test statistics about dispersion parameter is discussed based on the P-spline estimation. Both simulated and real data example are used to illustrate our proposed methods.

Suggested Citation

  • Weihua Zhao & Riquan Zhang & Jicai Liu & Yazhao Lv, 2015. "Semi Varying Coefficient Zero-Inflated Generalized Poisson Regression Model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(1), pages 171-185, January.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:1:p:171-185
    DOI: 10.1080/03610926.2012.735325
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