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The k-Nearest Neighbor estimation of the conditional mode function for functional data under dependency

Mohammed Kadi Attouch, Wahiba Bouabsa, Zouaoui Chiker El Mezoaur

Abstract



We focus in this paper to the estimation of the conditional mode by the k-Nearest Neighbors method (shortly k-NN).We give asymptotic results of the k-NN conditional mode estimation: the almost complete convergence and its rate under strongly mixing dependence condition. To exhibit the effectiveness of this estimation method compared to the classical kernel method estimation a real data application is given.

Keywords


Functional data, k-NN method, the conditional mode function, non parametric estimation.

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