On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions

DOI10.1080/10485252.2019.1566542zbMath1419.62078OpenAlexW2908578820MaRDI QIDQ5742400

Mengmei Xi, Xue-jun Wang

Publication date: 14 May 2019

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485252.2019.1566542

zbMATH Keywords

asymptotic normalitydensity functionBerry-Esseen boundsrecursive kernel estimator

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Strong limit theorems (60F15)

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The consistency and convergence rate for the nearest neighbor density estimator based on φ-mixing random samples ⋮ A note on the asymptotic properties of the estimators in a semiparametric regression model ⋮ On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array

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