A strong representation of the product-limit estimator for left truncated and right censored data

DOI10.1006/jmva.1998.1806zbMath1057.62516OpenAlexW2091630544MaRDI QIDQ1293667

Yong Zhou, Paul S. F. Yip

Publication date: 1999

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmva.1998.1806

zbMATH Keywords

product-limit estimatorcensored datatruncated dataalmost sure representation

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Estimation in survival analysis and censored data (62N02)

Related Items (39)

Product-limit estimation for length-biased censored data. ⋮ Copula-graphic estimation with left-truncated and right-censored data ⋮ Fixed design nonparametric regression with truncated and censored data ⋮ Efficiency of estimators for quantile differences with left truncated and right censored data ⋮ Relative hazard rate estimation for right censored and left truncated data ⋮ Nelson–Aalen and product-limit estimation in selection bias models for censored populations ⋮ The Kaplan–Meier estimator and hazard estimator for censored END survival time observations ⋮ Lorenz curve for truncated and censored data ⋮ Nonparametric smoothed quantile difference estimation for length-biased and right-censored data ⋮ Quantile residual lifetime for left-truncated and right-censored data ⋮ The cumulative quantile regression function with censored and truncated covariate ⋮ The nonparametric quantile estimation for length-biased and right-censored data ⋮ Kernel estimators of the ROC curve with censored data ⋮ A note on estimation of the mean residual life function with left-truncated and right-censored data ⋮ Kernel density estimation with doubly truncated data ⋮ Nonparametric Estimation of an Event-Free Survival Distribution Under Cross-Sectional Sampling ⋮ Relative deficiency of quantile estimators for left truncated and right censored data ⋮ Asymptotic behavior of the Lipschitz-1/2 modulus of the PL-process for truncated and censored data. ⋮ Fitting Conditional Survival Models to Meta‐Analytic Data by Using a Transformation Toward Mixed‐Effects Models ⋮ Estimation of percentile residual life function with left-truncated and right-censored data ⋮ A strong linear representation for the maximum conditional hazard rate estimator in survival analysis ⋮ Relative density estimation for left truncated and right censored data ⋮ The strong representation for the nonparametric estimator of length-biased and right-censored data ⋮ The cumulative quantile regression function with censored and truncated response ⋮ Presmoothed estimation of the density function with truncated and censored data ⋮ Strong Gaussian approximations of product-limit and quantile processes for truncated data under strong mixing ⋮ Goodness-of-fit tests for a semiparametric model under random double truncation ⋮ Strong Gaussian Approximations of Product-Limit and Quantile Processes for Strong Mixing and Censored Data ⋮ Bootstrapping the NPMLE for doubly truncated data ⋮ The strong law under a semiparametric model for truncated and censored data ⋮ Semiparametric quantile-difference estimation for length-biased and right-censored data ⋮ ALMOST SURE REPRESENTATIONS OF THE CONDITIONAL HAZARD FUNCTION AND ITS MAXIMUM ESTIMATION UNDER RIGHT-CENSORING AND LEFT-TRUNCATION ⋮ NONPARAMETRIC ESTIMATION OF CONDITIONAL CUMULATIVE HAZARDS FOR MISSING POPULATION MARKS ⋮ Uniform Representation of Product‐Limit Integrals with Applications ⋮ The estimation for the general additive-multiplicative hazard model using the length-biased survival data ⋮ Presmoothed Estimation with Left-Truncated and Right-Censored Data ⋮ Nonparametric estimation under length-biased sampling and type I censoring: A moment based approach ⋮ Smoothed estimator of quantile residual lifetime for right censored data ⋮ Quantile process for left truncated and right censored data

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