Open Access Open Access  Restricted Access Subscription or Fee Access

Nonparametric local linear estimator of the conditional hazard function in the functional single-index model

Torkia Merouan, Boubaker Mechab, Abdelhak Chouaf


In this paper, we present a nonparametric estimate of the conditional hazard function by the local linear approach of a scalar response variable given a Hilbertian random variable via the single-index structure. We establish the pointwise and the uniform consistencies (with rates) of the constructed estimator under some general conditions.


Nonparametric local linear estimation, Conditional hazard function, Conditional single-index, Functional variable.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.