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arXiv · 2408.12741

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

Luran Bengono Mintogo·Emmanuel de Dieu Nkou·Guy Martial Nkiet
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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 $\mathbb{R}^p$ for these estimators under specified assumptions.

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Luran Bengono Mintogo, Emmanuel de Dieu Nkou, Guy Martial Nkiet. 2024-08-22. Rates of strong uniform consistency for the $k$-nearest neighbors kernel estimators of density and regression function. https://arxiv.org/abs/2408.12741

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