Uniform strong convergence results for the conditional kaplan-meier estimator and its quantiles

DOI10.1080/03610929608831836zbMath0870.62038OpenAlexW2052242451MaRDI QIDQ3125752

Noël Veraverbeke, Ingrid Van Keilegom

Publication date: 23 September 1997

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929608831836

zbMATH Keywords

right censoringkernel estimatornonparametric regressionlife time distributionquantile estimatorfixed design modelalmost sure convergence propertiesexponential probability boundsKaplan-Meier type estimatormodulus of continuity resultrates of uniform strong convergence

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (16)

A dimension reduction approach for conditional Kaplan-Meier estimators ⋮ Goodness-of-fit tests for conditional models under censoring and truncation ⋮ Nonparametric estimation of the conditional survival function with double smoothing ⋮ Estimation of conditional distribution function under nonparametric regression with fixed design ⋮ Unnamed Item ⋮ A copula-graphic estimator for the conditional survival function under dependent censoring ⋮ The partial Koziol-Green model with covariates ⋮ Strong uniform consistency of a nonparametric estimator of a conditional quantile for censored dependent data and functional regressors ⋮ Graphical Exploration of Covariate Effects on Survival Data Through Nonparametric Quantile Curves ⋮ Guided Censored Regression ⋮ Estimation of the conditional distribution in regression with censored data: a comparative study. ⋮ Estimation of a bivariate conditional copula when a variable is subject to random right censoring ⋮ Transfer of tail information in censored regression models ⋮ Estimation of the conditional distribution in a conditional Koziol-Green model ⋮ Bootstrapping quantiles in a fixed design regression model with censored data ⋮ Regression quantiles under dependent censoring

Cites Work

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• Local convergence of empirical measures in the random censorship situation with application to density and rate estimators
• The oscillation behavior of empirical processes
• On the Glivenko-Cantelli theorem for weighted empiricals based on independent random variables
• Consistent nonparametric regression. Discussion
• Uniform consistency of the kernel conditional Kaplan-Meier estimate
• The product-limit estimator and the bootstrap: Some asymptotic representations
• Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
• Nonparametric Estimation from Incomplete Observations
• Approximation Theorems of Mathematical Statistics
• Asymptotic properties of a generalized kaplan-meier estimator with some applications
• A LIL type result for the product limit estimator

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