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

Gagui Abdelmalek, CHOUAF Abdelhak


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.


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

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