Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function

Fuente: arXiv
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Autori principali: Mintogo, Luran Bengono, Nkou, Emmanuel de Dieu, Nkiet, Guy Martial
Natura: Preprint
Pubblicazione: 2024
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author Mintogo, Luran Bengono
Nkou, Emmanuel de Dieu
Nkiet, Guy Martial
author_facet Mintogo, Luran Bengono
Nkou, Emmanuel de Dieu
Nkiet, Guy Martial
contents We adress the problem of consistency of the $k$-nearest neighbors kernel estimators of the density and the regression function in the multivariate case. We get the rates of strong uniform consistency on the whole space $\mathbb{R}^p$ for these estimators under specified assumptions.
format Preprint
id arxiv_https___arxiv_org_abs_2408_12741
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function
Mintogo, Luran Bengono
Nkou, Emmanuel de Dieu
Nkiet, Guy Martial
Statistics Theory
We adress the problem of consistency of the $k$-nearest neighbors kernel estimators of the density and the regression function in the multivariate case. We get the rates of strong uniform consistency on the whole space $\mathbb{R}^p$ for these estimators under specified assumptions.
title Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function
topic Statistics Theory
url https://arxiv.org/abs/2408.12741