Search for: [Abstrakt = "The main objective of this paper was to estimate non\-parametrically the quantiles of a conditional distribution based on the single\-index model in the censorship model when the sample is considered as independent and identically distributed \(i.i.d.\) random variables. First of all, a kernel type estimator for the conditional cumulative distribution function \(cond\-cdf\) is introduced. Then the paper gives an estimation of the quantiles by inverting this estimated cond\-cdf, the asymptotic properties are stated when the observations are linked with a single\-index structure. Finally, a simulation study was carried out to evaluate the performance of this estimate."]

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