The consistency and convergence rate for the nearest neighbor density estimator based on φ-mixing random samples

DOI10.1080/03610926.2020.1752727OpenAlexW3020796438MaRDI QIDQ5079266

Rui Wang, Fei Zhang, Shengnan Ding, Zhengliang Lu, Xue-jun Wang

Publication date: 25 May 2022

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2020.1752727

zbMATH Keywords

convergence rateweak consistencystrong consistencycomplete consistencynearest neighbor estimator\(\varphi\)-mixing random variables

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Statistics (62-XX)

Cites Work

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• On Complete Convergence for Nonstationary ϕ-Mixing Random Variables
• A Nonparametric Estimate of a Multivariate Density Function
• Nearest neighbor pattern classification
• On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions

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