Semiparametric mixtures in case-control studies

Semiparametric mixtures in case-control studies
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DOI:
10.1006/jmva.2000.1961
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发表时间:
2001-10-01
影响因子:
1.6
通讯作者:
van der Vaart, AW
van der Vaart, AW
中科院分区:
数学2区
文献类型:
--
作者:
Murphy, SA;van der Vaart, AW

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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 Lin 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. (C) 2001 Academic Press.