Distribution-free lower bounds in density estimation

DOI10.1214/aos/1176346790zbMath0551.62024OpenAlexW2035644590MaRDI QIDQ800659

Clark S. Penrod, Luc P. Devroye

Publication date: 1984

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346790

zbMATH Keywords

weak convergencedensity estimationkernel estimatelower bound on the L1 error

Mathematics Subject Classification ID

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

Related Items (10)

Quasi-universal bandwidth selection for kernel density estimators ⋮ A universally acceptable smoothing factor for kernel density estimates ⋮ Adaptive density estimation using the blockwise Stein method ⋮ Uniform \(L_1\)-distance large deviations in nonparametric density estimation ⋮ Minimax properties of Dirichlet kernel density estimators ⋮ Lower bounds on the rate of convergence of nonparametric regression estimates ⋮ \(L_{1}\)-rate of convergence of smoothed histogram ⋮ Asymptotic properties of Dirichlet kernel density estimators ⋮ A universal lower bound for the kernel estimate ⋮ Nonparametric density estimates with improved . performance on given sets of densities

This page was built for publication: Distribution-free lower bounds in density estimation