Weak and strong uniform consistency rates of kernel density estimates for randomly censored data

DOI10.2307/3315426zbMath0849.60026OpenAlexW2118502018MaRDI QIDQ3993628

Song Yang, Rohana J. Karunamuni

Publication date: 21 July 1992

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315426

zbMATH Keywords

randomly censored dataconsistency rates of kernel density estimates

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Strong limit theorems (60F15)

Related Items (6)

Asymptotic properties of hazard rate estimator in censored linear regression ⋮ Fixed design local polynomial smoothing and bandwidth selection for right censored data ⋮ Local polynomial smoothing based on the Kaplan-Meier estimate ⋮ Smooth confidence intervals for the survival function under random right censoring ⋮ An em algorithm for density estimation with randomly censored data ⋮ On the asymptotic normality of the kernel estimators of the density function and its derivatives under censoring

Cites Work

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• A new smoothness quantification in kernel density estimation
• Large sample behaviour of the product-limit estimator on the whole line
• A comparison of cross-validation techniques in density estimation
• Asymptotically optimal bandwidth selection for kernel density estimators from randomly right-censored samples
• Kernel density and hazard function estimation in the presence of censoring
• Strong consistency properties of nonparametric estimators for randomly censored data. II: Estimation of density and failure rate
• Optimal convergence properties of kernel density estimators without differentiability conditions
• Improvements on strong uniform consistency of some known kernel estimates of a density and its derivatives
• Nonparametric Estimation of Derivatives of Average of $\mu $-Densities with Convergence rates and Applications
• Nonparametric Estimation from Incomplete Observations
• Nonparametric density estimation from censored data
• On Convergence Rates in Nonparametric Problems
• Strong approximations of some biometric estimates under random censorship
• The rate of strong uniform consistency for the product-limit estimator
• Curve Estimates
• On Estimation of a Probability Density Function and Mode

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