✦ LIBER ✦

Semiparametric Mixtures in Case-Control Studies

✍ Scribed by S.A. Murphy; A.W. van der Vaart

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 236 KB
Volume: 79
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.2000.1961

No coin nor oath required. For personal study only.

✦ Synopsis

We consider likelihood based inference in a class of logistic models for casecontrol 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.

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