期刊
BIOMETRICAL JOURNAL
卷 52, 期 1, 页码 126-137出版社
WILEY
DOI: 10.1002/bimj.200900039
关键词
Abortion; Greenwood estimator; Left-truncation; Stochastic process
资金
- Deutsche Forschungsgemeinschaft [FOR 534]
The Aalen-Johansen estimator is the standard nonparametric estimator of the cumulative incidence function in competing risks. Estimating its variance in small samples has attracted some interest recently, together with a critique of the usual martingale-based estimators. We show that the preferred estimator equals a Greenwood-type estimator that has been derived as a recursion formula using counting processes and martingales in a more general multistate framework. We also extend previous simulation studies on estimating the variance of the Aalen-Johansen estimator in small samples to left-truncated observation schemes, which may conveniently be handled within the counting processes framework. This investigation is motivated by a real data example on spontaneous abortion in pregnancies exposed to coumarin derivatives, where both competing risks and left-truncation have recently been shown to be crucial methodological issues (Meister and Schaefer (2008), Reproductive Toxicology 26, 31-35). Multistate-type software and data are available online to perform the analyses. The Greenwood-type estimator is recommended for use in practice.
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