\(\mathcal L_1\)-deficiency of the Kaplan-Meier estimator.

DOI10.1016/S0167-7152(03)00062-2zbMath1116.62335OpenAlexW2045962302MaRDI QIDQ1423195

Mohamed Lemdani, Elias Ould Saïd

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/s0167-7152(03)00062-2

zbMATH Keywords

estimateOptimal bandwidthKaplan--Meier estimator\(\mathcal L_1\)-deficiencySmooth kernel-typeStrong representation

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Censored data models (62N01) Estimation in survival analysis and censored data (62N02)

Related Items (3)

\(\mathcal L_1\)-deficiency of the sample quantile estimator with respect to a kernel quantile estimator ⋮ Smooth confidence intervals for the survival function under random right censoring ⋮ Berry-Esseen bounds for the percentile residual life function estimators

Cites Work

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• Strong embedding of the estimator of the distribution function under random censorship
• Chung-Smirnov property for smoothed distribution function estimator under random censorship
• Relative deficiency of the Kaplan-Meier estimator with respect to a smoothed estimator
• Deficiency of the sample quantile estimator with respect to kernel quantile estimators for censored data
• Nonparametric Estimation from Incomplete Observations
• Relative efficiency and deficiency of kernel type estimators of smooth distribution functions
• Deficiency

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