Regresja kwantylowa pojedynczego wskaźnika funkcjonalnego dla niezależnych danych funkcjonalnych z cenzurowaniem prawostronnym
Single functional index quantile regression for independent functional data under right-censoring

Summary/Abstract: 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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