ASYMPTOTIC THEORY FOR NESTED CASE-CONTROL SAMPLING IN THE COX REGRESSION-MODEL

被引:93
作者
GOLDSTEIN, L [1 ]
LANGHOLZ, B [1 ]
机构
[1] UNIV SO CALIF,DEPT PREVENT MED,LOS ANGELES,CA 90033
关键词
SURVIVAL ANALYSIS; COHORT SAMPLING; MARTINGALE; CENSORING; EFFICIENCY;
D O I
10.1214/aos/1176348895
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
By providing a probabilistic model for nested case-control sampling in epidemiologic cohort studies, consistency and asymptotic normality of the maximum partial likelihood estimator of regression parameters in a Cox proportional hazards model can be derived using process and martingale theory as in Andersen and Gill. A general expression for the asymptotic variance is given and used to calculate asymptotic relative efficiencies relative to the full cohort variance in some important special cases.
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页码:1903 / 1928
页数:26
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