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Recursive estimation of the distribution function with functional data for strong mixing data.

Mohamed Mehdi Hamri, Latifa Keddani, Mustapha Meghnafi, Abbes Rabhi

Abstract



In this paper, we introduce a new nonparametric estimator of the conditional cumulative distribution, of a scalar response variable given a functional data are determined. Our estimates are based on recursive approach. We prove under general conditions, the Almost sure convergence and the quadratic average convergence of the constructed estimates.

Keywords


Conditional cumulative distribution, functional random variable, kernel estimator, recursive estimation, semi-metric space.

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