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Kaplan–Meier representation of competing risk estimates

✍ Scribed by Glen A Satten; Somnath Datta

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
78 KB
Volume
42
Category
Article
ISSN
0167-7152

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✦ Synopsis

A novel representation for the nonparametric maximum likelihood estimator (NPMLE) of the failure time distributions in the competing risks problem with right-censored data is derived. This representation shows that the NPMLE can be calculated by a Kaplan-Meier survival function for each failure type, where an appropriate fraction of the censored observations contribute to each risk set.

📜 SIMILAR VOLUMES

Asymptotic properties of Kaplan-Meier es
Asymptotic properties of Kaplan-Meier estimator for censored dependent data
✍ Zongwu Cai 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 337 KB

In some long term studies, a series of dependent and possibly censored failure times may be observed. Suppose that the failure times have a common marginal distribution function, and inferences about it are of interest to us. The main result of this paper is that, under certain regularity conditions