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Strong uniform consistency rates of conditional hazard estimator via a functional single-index model

Gagui Abdelmalek, CHOUAF Abdelhak

Abstract



In this paper, we focus on the nonparametric estimation of the conditional hazard fuction of a scalar response variable given a random variable taking values in functional data when the observations are linked with a single-index sticture, using the kernel estimator of the conditional density , cumulative distribution fuction and under generale conditions we etablish the pointwise and the uniform almost complete convergence (with the rate) for proposed estimator.

Keywords


Uniform almost complete conergence, single function index , conditional hazard function, nonparametric estimation,functional data.

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