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Recursive estimation for nonparametric estimators with functional data

Latifa Keddani, Mustapha Meghnafi, Abbes Rabhi, Khadidja Sabri


In this paper, we introduce a new nonparametric estimator of the conditional hazard function, to this end a nonparametric estimators of the conditional cumulative distribution and a conditional density function of a scalar response variable Y given a functional random variable X are determined. We estimate non-parametrically the conditional cumulative distribution and the conditional density function. We prove under general conditions, the Almost sure convergence and the quadratic average convergence of the constructed estimates.


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

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