Another proof of a slow convergence result of Birgé

DOI10.1016/0167-7152(94)00095-PzbMath0818.62034OpenAlexW2056387637MaRDI QIDQ1892115

Luc P. Devroye

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00095-p

zbMATH Keywords

rate of convergencelower boundsdensity estimateminimax theorymonotone decreasing sequence of positive numbers

Mathematics Subject Classification ID

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

Related Items

Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey ⋮ Convergence properties of functional estimates for discrete distributions ⋮ On the impossibility of estimating densities in the extreme tail ⋮ Lower bounds for the rate of convergence in nonparametric pattern recognition

Cites Work

• On estimating a density using Hellinger distance and some other strange facts
• On arbitrarily slow rates of global convergence in density estimation