Rates of convergence for the distance between distribution function estimators

DOI10.1007/BF01894748zbMath0604.62030MaRDI QIDQ1083146

Dennis D. Boos

Publication date: 1986

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176051

zbMATH Keywords

weak convergencebandwidthsup-normrates of convergenceempirical distribution functionkernel density estimators

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (5)

Bootstrap kernel estimator of mean residual life function ⋮ Bias reduction of maximum likelihood estimators using kernel estimators ⋮ Edgeworth expansions for studentized and prepivoted sample quantiles ⋮ Kernel estimation of a characteristic function ⋮ A general result on the uniform in bandwidth consistency of kernel-type function estimators

Cites Work

• A differential for L-statistics
• The oscillation behavior of empirical processes
• Weak and strong uniform consistency of the kernel estimate of a density and its derivatives
• Relative efficiency and deficiency of kernel type estimators of smooth distribution functions
• Strong uniform consistency of integrals of density estimators
• Convergence rate of perturbed empirical distribution functions
• Some New Estimates for Distribution Functions
• On Bounded Length Sequential Confidence Intervals Based on One-Sample Rank Order Statistics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Rates of convergence for the distance between distribution function estimators