On bootstrap accuracy with censored data

DOI10.1214/AOS/1032894453zbMath0860.62036OpenAlexW2002817714MaRDI QIDQ1816584

Kani Chen, Shaw-Hwa Lo

Publication date: 27 November 1996

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

Full work available at URL: https://doi.org/10.1214/aos/1032894453

zbMATH Keywords

survival analysisbootstrap approximationEdgeworth expansionssimulationsnormal approximationKaplan-Meier estimatorcensored datamoment estimatorsGreenwood formulaStudentizationbootstrap-based confidence intervalsNelson estimatorssurvival function estimators

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Nonparametric statistical resampling methods (62G09)

Related Items (7)

The modified bootstrap error process for Kaplan-Meier quantiles ⋮ A Martingale-based bootstrap inference with censored data ⋮ A study of a class of weighted bootstrap for censored data ⋮ Bootstrap and Bayesian bootstrap clones for censored Markov chains ⋮ Parametric Proportional Odds Frailty Models ⋮ Smoothed weighted empirical likelihood ratio confidence intervals for quantiles ⋮ Edgeworth Expansion and Bootstrap Approximation for Studentized Product-Limit Estimator with Truncated and Censored Data

Cites Work

• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• Large sample behaviour of the product-limit estimator on the whole line
• Edgeworth corrected pivotal statistics and the bootstrap
• Asymptotic properties of censored linear rank tests
• Theoretical comparison of bootstrap confidence intervals
• The order of the normal approximation for a Studentized U-statistic
• A counterexample to a conjecture concerning the Hall-Wellner band
• The Edgeworth expansion for U-statistics of degree two
• A large sample study of the life table and product limit estimates under random censorship
• The product-limit estimator and the bootstrap: Some asymptotic representations
• Theory for the measurement of competing risks in animal experiments
• Nonparametric Estimation from Incomplete Observations
• Bootstrapping the Kaplan-Meier Estimator
• Confidence bands for a survival curve from censored data
• Censored Data and the Bootstrap
• Linear rank tests with right censored data
• The bootstrap and Edgeworth expansion

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