Almost sure convergence of recursive kernel estimatiors of the density and the regression under η− weak dependence

Mezhoud Kenza Assia

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 17, 3913-3927

Abstract: The result of this work addresses the consistency of recursive kernel estimates of the regression and density functions. We provide almost sure convergence under η−weak dependence using exponential inequality adapted to this context of dependence. Rates of convergence are derived also.

Date: 2021
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DOI: 10.1080/03610926.2019.1710751

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