On the uniform consistency of the Kaplan-Meier estimator under heavy censoring

DOI10.1007/s11766-997-0004-0zbMath0871.62035OpenAlexW133907177MaRDI QIDQ1355912

Zu Kang Zheng

Publication date: 28 May 1997

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-997-0004-0

zbMATH Keywords

order statisticsmartingalessurvival analysisKaplan-Meier estimatoruniform consistency

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Reliability and life testing (62N05)

Cites Work

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• Large sample behaviour of the product-limit estimator on the whole line
• A note on the uniform consistency of the Kaplan-Meier estimator
• A LIL type result for the product limit estimator
• Limit theorems for the ratio of the empirical distribution function to the true distribution function