A note on the integrated square errors of kernel density estimators under random censorship

DOI10.1016/S0304-4149(98)00009-XzbMath0926.62028MaRDI QIDQ1805767

Biao Zhang

Publication date: 18 November 1999

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

kernel estimatorKaplan-Meier estimatormean integrated square error

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20)

Related Items (4)

Central Limit Theorem for ISE of Kernel Density Estimators in Censored Dependent Model ⋮ Asymptotic expansion for ISE of kernel density estimators under censored dependent model ⋮ Large-sample study of the kernel density estimators under multiplicative censoring ⋮ CLT for integrated square error of density estimators with censoring indicators missing at random

Cites Work

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• Some asymptotic properties of kernel estimators of a density function in case of censored data
• A correction to and improvement of: ``Strong approximations of some biometric estimates under random censorship
• 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
• Limit theorems for stochastic measures of the accuracy of density estimators
• Some asymptotic results for kernel density estimation under random censorship
• Nonparametric Estimation from Incomplete Observations
• Strong approximations of some biometric estimates under random censorship
• An approximation of partial sums of independent RV'-s, and the sample DF. I

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