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Robust Inference Based on Quasi-likelihoods for Generalized Linear Models and Longitudinal Data

In: Developments in Robust Statistics

Author

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  • E. Cantoni

    (University of Geneva, Econometrics Department)

Abstract

Summary In this paper we introduce and develop robust versions of quasi-likelihood functions for model selection via an analysis-of-deviance type of procedure in generalized linear models and longitudinal data analysis. These robust functions are built upon natural classes of robust estimators and can be seen as weighted versions of their classical counterparts. The asymptotic theory of these test statistics is studied and their robustness properties are assessed for both generalized linear models and longitudinal data analysis. The proposed class of test statistics yields reliable inference even under model contamination. The analysis of a real data set completes the article.

Suggested Citation

  • E. Cantoni, 2003. "Robust Inference Based on Quasi-likelihoods for Generalized Linear Models and Longitudinal Data," Springer Books, in: Rudolf Dutter & Peter Filzmoser & Ursula Gather & Peter J. Rousseeuw (ed.), Developments in Robust Statistics, pages 114-124, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-57338-5_9
    DOI: 10.1007/978-3-642-57338-5_9
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