Quantile estimation in the proportional hazards model of random censorship

DOI10.1080/03610928908829991zbMath0696.62190OpenAlexW2099390418MaRDI QIDQ3473179

Irène Gijbels, Noël Veraverbeke

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03610928908829991

zbMATH Keywords

confidence intervalsBahadur representationdensity estimationquantileproportional hazards model of random censorshipACL-estimator

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)

Related Items (15)

On minimum distance estimation in two-sample scale problem with right censoring ⋮ On testing the proportionality of two cumulative incidence functions in a competing risks setup ⋮ Cramér-von mises statistic for testing goodness of fit under the proportional hazards model ⋮ Bootstrapping quantiles in the proportional hazards model of random censorship ⋮ Semi-parametric estimator of the quantile in an informative model of random censoring ⋮ Testing the Koziol--Green model against monotone conditional odds for censoring. ⋮ Large sample confidence interval for the quantiles in the proportional hazards model of random censorship ⋮ The Paradoxical Nature of The Proportional Hazards Model of Random Censorship ⋮ Estimation of a smooth quantile function under the proportional hazards model ⋮ A Bayesian adaptive design for two-stage clinical trials with survival data ⋮ Distributional convergence under proportional censorship when covariables are present ⋮ Estimation of the conditional distribution in a conditional Koziol-Green model ⋮ A central limit theorem for the weighted integrated squared error of the kernel type density estimator under the proportional hazard model ⋮ The accuracy of normal approximations in censoring models ⋮ A Comparison of Survival Function Estimators in the Koziol–Green Model

Cites Work

• Density estimation in the simple proportional hazards model
• Maximum likelihood estimation of a survival function under the Koziol- Green proportional hazards model
• Weak asymptotic representations for quantiles of the product-limit estimator
• The oscillation behavior of empirical processes
• A law of the logarithm for kernel density estimators
• The product-limit estimator and the bootstrap: Some asymptotic representations
• Nonparametric Estimation from Incomplete Observations
• Approximation Theorems of Mathematical Statistics
• Nonparametric Statistical Data Modeling
• A Note on Quantiles in Large Samples
• On Bahadur's Representation of Sample Quantiles
• A New Proof of the Bahadur Representation of Quantiles and an Application

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