The consistency and asymptotic normality of nearest neighbor density estimator under \(\alpha\)-mixing condition

DOI10.1016/S0252-9602(10)60074-4zbMath1234.62036OpenAlexW2134451222MaRDI QIDQ551362

Yan Yan Liu, Yan-Li Zhang

Publication date: 19 July 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60074-4

zbMATH Keywords

asymptotic normalityNN-estimator

Mathematics Subject Classification ID

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

Related Items (8)

Consistency properties for the nearest neighbour estimator of the density function and applications based on α-mixing samples ⋮ Consistency of nearest neighbor estimator of density function for \(m\)-END samples ⋮ The rate of strong consistency of the nearest neighbor density estimator for negatively dependent random variables ⋮ The asymptotic properties for the estimators of the survival function and failure rate function based on WOD samples ⋮ A review of uncertainty quantification for density estimation ⋮ On consistency of the nearest neighbor estimator of the density function and its applications ⋮ Complete consistency and convergence rate of the nearest neighbor estimator of the density function based on WOD samples ⋮ The consistency of the nearest neighbor estimator of the density function based on WOD samples

This page was built for publication: The consistency and asymptotic normality of nearest neighbor density estimator under \(\alpha\)-mixing condition