A bound on the \(\mathcal{L}_ 1\)-error of a nonparametric density estimator with censored data

DOI10.1016/0167-7152(94)00118-RzbMath0819.62033OpenAlexW1964106941MaRDI QIDQ1892954

K. B. Kulasekera

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00118-r

zbMATH Keywords

error boundsdensity estimationrandomly right censored dataexpected L1-distance

Mathematics Subject Classification ID

Density estimation (62G07)

Related Items (4)

Some bounds for the error of an estimator of the hazard function with censored data ⋮ Convergence Rates of Empirical Bayes Estimation for the Parameter of the Uniform DistributionU(0, θ) Under Random Censorship ⋮ Some inequalities for the kernel density estimator under random censorship^∗ ⋮ Exact asymptotic \(\mathcal L_1\)-error of a kernel density estimator under censored data.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some asymptotic properties of kernel estimators of a density function in case of censored data
• Central limit theorems for \(L_ p\)-norms of density estimators
• Minimum Hellinger distance estimation of parameter in the random censorship model
• Central limit theorems for \(L_ p\) distances of kernel estimators of densities under random censorship
• Some nonasymptotic bounds for \(L_ 1\) density estimation using kernels
• Change of variables for absolutely continuous functions
• Nonparametric Estimation from Incomplete Observations
• L₁-Consistency of the kernel density estimators based on randomly right censored data
• The rate of strong uniform consistency for the product-limit estimator

This page was built for publication: A bound on the \(\mathcal{L}_ 1\)-error of a nonparametric density estimator with censored data