A note on the product-limit estimator under right censoring and left truncation. (English) Zbl 0628.62101

Tsai, Wei-Yann; Jewell, Nicholas P.; Wang, Mei-Cheng

Biometrika 74, 883-886 (1987).

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.

Reviewer: Wei-Yann Tsai

MSC:

62P10	Applications of statistics to biology and medical sciences; meta analysis
62G05	Nonparametric estimation
62N02	Estimation in survival analysis and censored data

Keywords:

Kaplan-Meier estimator; weak convergence; delayed entry; asymptotic results; follow-up studies; lifetimes; left truncation; right censoring; product-limit estimator; survival curve