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

2024/08/22 by Luran Bengono Mintogo, Mintogo, Luran Bengono, Emmanuel de Dieu Nkou +3 · 1 citation
Mathematics · Medicine · Computer Science · #Statistical Methods and Inference #Liver Disease Diagnosis and Treatment #Bayesian Methods and Mixture Models

paper · pdf · doi:10.48550/arxiv.2408.12741

Abstract

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 ℝ^p for these estimators under specified assumptions.

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• Nonparametric estimation of sliced inverse regression by the k-nearest neighbors kernel method

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