Semiparametric Mixtures in Case-Control Studies

S. A. Murphy and A. W. van der Vaart

Journal of Multivariate Analysis, 2001, vol. 79, issue 1, 1-32

Abstract: We consider likelihood based inference in a class of logistic models for case- control studies with a partially observed covariate. The likelihood is a combination of a nonparametric mixture, a parametric likelihood, and an empirical likelihood. We prove the asymptotic normality of the maximum likelihood estimator for the regression slope, the asymptotic chi-squared distribution of the likelihood ratio statistic, and the consistency of the observed information, in both the prospective and the retrospective model.

Keywords: mixture; model; maximum; likelihood; asymptotic; efficiency; semiparametric; model; direct; and; indirect; observations (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (5)

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