Convergence of the Kaplan-Meier estimator in weighted sup-norms

DOI10.1016/0167-7152(94)90045-0zbMath0798.62066OpenAlexW2095093927MaRDI QIDQ1332896

Winfried Stute

Publication date: 5 September 1994

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)90045-0

zbMATH Keywords

random censoringcentral limit theoremsurvival functionweight functionsKaplan-Meier estimatorCLTSLLNnew strong law of large numbersweighted sup-norms

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Strong limit theorems (60F15)

Related Items (6)

Strong representations of the Kaplan-Meier estimator and hazard estimator with censored widely orthant dependent data ⋮ On an exponential bound for the Kaplan-Meier estimator ⋮ An Odyssey to Incomplete Data: Winfried Stute’s Contribution to Survival Analysis ⋮ On efron's and gill's version of the kaplan-meier integral ⋮ Kaplan–Meier estimator and hazard estimator for censored negatively superadditive dependent data ⋮ Kaplan-Meier estimator under association

Cites Work

• A Glivenko-Cantelli theorem and strong laws of large numbers for functions of order statistics
• The strong law under random censorship
• Nonparametric Estimation from Incomplete Observations
• Unnamed Item

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