Geodesic
On the accuracy of the uniform approximation of universal local constant kernel estimators to smooth regression functions
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1450-1459 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper considers universal locally constant kernel estimators in nonparametric regression. Previously, these estimators were studied only in the case of a continuous regression function. It is shown that with the additional condition of smoothness of the regression function, the accuracy of the uniform approximation can be improved.
Keywords: nonparametric regression, universal local constant kernel estimator, uniform consistency, fixed design, random design. 
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Y. Y. Linke. On the accuracy of the uniform approximation of universal local constant kernel estimators to smooth regression functions. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 21 (2024) no. 2, pp. 1450-1459. http://geodesic.mathdoc.fr/item/SEMR_2024_21_2_a22/

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