A smooth nonparametric quantile estimator from right-censored data

DOI10.1016/0167-7152(88)90035-1zbMath0654.62036OpenAlexW1976884835MaRDI QIDQ1108710

L. A. Thombs, W. J. Padgett

Publication date: 1988

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(88)90035-1

zbMATH Keywords

percentilesasymptotic normalitystrong consistencybootstrap methodsData-based selection of the bandwidthkernel estimator of the lifetime densityquantile function of the lifetime distributionrandomly right-censored datasmooth nonparametric estimator

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Reliability and life testing (62N05)

Related Items (9)

Estimation of the quantile function of residual life time distribution ⋮ A kernel nonparametric quantile estimator for right-censored competing risks data ⋮ Strong Approximation of Quantile Function for Strong Mixing and Censored Processes ⋮ Estimation of change point in failure rate models ⋮ Strong Gaussian Approximations of Product-Limit and Quantile Processes for Strong Mixing and Censored Data ⋮ The Bahadur representation for kernel-type estimator of the quantile function under strong mixing and censored data ⋮ A simulation study on the performance of bounded length confidence intervals for quantiles with censored data ⋮ Nonparametric estimation of the percentile residual life function ⋮ Asymptotically optimal bandwidth for a smooth nonparametric quantile estimator under censoring

Uses Software

• IMSL Numerical Libraries

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong approximations of the quantile process of the product-limit estimator
• Some asymptotic properties of kernel estimators of a density function in case of censored data
• On the asymptotic properties of a kernel type quantile estimator from censored samples
• Some convergence results for kernel-type quantile estimators under censoring
• Convergence rates for the bootstrapped product-limit process
• Asymptotically optimal bandwidth selection for kernel density estimators from randomly right-censored samples
• Strong consistency properties of nonparametric estimators for randomly censored data. I: The product-limit estimator
• Nonparametric Estimation from Incomplete Observations
• A Smooth Nonparametric Estimator of a Quantile Function
• A Kernel-Type Estimator of a Quantile Function From Right-Censored Data
• Smooth nonparametric quantile estimation under censoring: simulations and bootstrap methods
• Bootstrapping the Kaplan-Meier Estimator
• Censored Data and the Bootstrap
• The rate of strong uniform consistency for the product-limit estimator
• Some New Estimates for Distribution Functions

This page was built for publication: A smooth nonparametric quantile estimator from right-censored data