A counterexample to a conjecture concerning the Hall-Wellner band

DOI10.1214/aos/1032894456zbMath0859.62046OpenAlexW2066067977WikidataQ123111479 ScholiaQ123111479MaRDI QIDQ1816588

Zhiliang Ying, Kani Chen

Publication date: 9 April 1997

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1032894456

zbMATH Keywords

weak convergenceBrownian bridgecounterexampletightnesscensored survival dataDoob's transformationsurvival curvesKaplan-Meier estimatorsKolmogorov-Smirnov simultaneous confidence bandlast observed failure time

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric tolerance and confidence regions (62G15)

Related Items (3)

Universal Gaussian approximations under random censorship ⋮ On an exponential bound for the Kaplan-Meier estimator ⋮ On bootstrap accuracy with censored data

Cites Work

• Unnamed Item
• Large sample behaviour of the product-limit estimator on the whole line
• A note on the uniform consistency of the Kaplan-Meier estimator
• A note on the asymptotic properties of the product-limit estimator on the whole line
• The strong law under random censorship
• A large sample study of the life table and product limit estimates under random censorship
• Nonparametric Estimation from Incomplete Observations
• Confidence bands for a survival curve from censored data
• Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems

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