On the asymptotic properties of a kernel type quantile estimator from censored samples

DOI10.1016/0378-3758(86)90154-0zbMath0608.62048OpenAlexW2025787315MaRDI QIDQ1085915

W. J. Padgett, Yuhlong Lio, Yu, Kai Fun

Publication date: 1986

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90154-0

zbMATH Keywords

asymptotic normalitylifetime distributionkernel type estimatorkernel smoothed quantile functionproduct- limit estimatorrandom-right-censorship model

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (17)

A kernel nonparametric quantile estimator for right-censored competing risks data ⋮ Some convergence results for kernel-type quantile estimators under censoring ⋮ SMOOTH QUANTILE PROCESSES FROM RIGHT CENSORED DATA AND CONSTRUCTION OF SIMULTANEOUS CONFIDENCE BANDS ⋮ Weak asymptotic representations for quantiles of the product-limit estimator ⋮ A smooth nonparametric quantile estimator from right-censored data ⋮ Families of smooth confidence bands for the survival function under the general random censorship model ⋮ Relative deficiency op kernel type estimators of quantiles based on right censored data ⋮ Nonparametric tests for ordered quantiles ⋮ On the mean squared error of nonparametric quantile estimators under random right-censorship ⋮ Optimum invariant tests for random manova models ⋮ A modified kernel quantile estimator under censoring ⋮ Weak convergence of sequences of first passage processes and applications ⋮ Estimation of a smooth quantile function under the proportional hazards model ⋮ An exact bootstrap approach towards modification of the Harrell–Davis quantile function estimator for censored data ⋮ On some smooth estimators of the quantile function for a stationary associated process ⋮ Asymptotically optimal bandwidth for a smooth nonparametric quantile estimator under censoring ⋮ Tests for successive differences of quantiles

Cites Work

• Unnamed Item
• Relative deficiency of kernel type estimators of quantiles
• Asymptotic normality of the kernel quantile 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
• A LIL type result for the product limit estimator
• An almost sure invariance principle for the empirical distribution function of mixing random variables
• Nonparametric Statistical Data Modeling

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