Confidence bands for the Kaplan-Meier survival curve estimate

DOI10.1214/AOS/1176344742zbMath0423.62085OpenAlexW2057088856MaRDI QIDQ1134488

Lloyd Fisher, Mary Jo Gillespie

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1214/aos/1176344742

zbMATH Keywords

Brownian motionhitting probabilitiescensored survival dataasymptotic confidence bandssurvival curvesweak convergence of the Kaplan-Meier estimate

Mathematics Subject Classification ID

Gaussian processes (60G15) Asymptotic distribution theory in statistics (62E20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Nonparametric tolerance and confidence regions (62G15) Monte Carlo methods (65C05) Brownian motion (60J65)

Related Items (11)

Families of smooth confidence bands for the survival function under the general random censorship model ⋮ Confidence bands from censored samples ⋮ Nonparametric estimation of a survival function under progressive type-I multistage censoring ⋮ Strong approximations for dependent competing risks with independent censoring ⋮ The variances of non-parametric estimates of the cross-sectional distribution of durations ⋮ On an exponential bound for the Kaplan-Meier estimator ⋮ Model-based confidence bands for survival functions ⋮ Confidence bands for quantile function under random censorship ⋮ Nonparametric inference under a monotone hazard ratio order ⋮ Strong approximations of some biometric estimates under random censorship ⋮ Coverage probabilities of nonparametric simultaneous confidence bands for a survival function

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