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Biometrika 1987 74(4):883-886; doi:10.1093/biomet/74.4.883
© 1987 by Biometrika Trust
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MISCELLANEA

A note on the product-limit estimator under right censoring and left truncation

WEI-YANN TSAI, NICHOLAS P. JEWELL and MEI-CHENG WANG

Applied Mathematics Department, Brookhaven National Laboratory Upton, New York 11973, U.S.A.
Program in Biostatistics & Department of Statistics, University of California Berkeley, California 94720, U.S.A.
Department of Biostatistics, Johns Hopkins University Baltimore, Maryland 21205, U.S.A.

In many applications involving follow-up studies, individuals' lifetimes may be subject to left truncation in addition to the usual right censoring. Here we consider the product-limit estimator of the survival curve S or an appropriate conditional version of S. The asymptotic behaviour of the estimator is briefly described together with an example.

Key Words: Censored data • Kaplan-Meier estimator • Survival function • Truncated data • Weak convergence


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