Artikel

On the nonparametric estimation of the conditional hazard estimator in a single functional index

This paper deals with the conditional hazard estimator of a real response where the variable is given a functional random variable (i.e it takes values in an infinite-dimensional space). Specifically, we focus on the functional index model. This approach offers a good com- promise between nonparametric and parametric models. The principle aim is to prove the asymptotic normality of the proposed estimator under general conditions and in cases where the variables satisfy the strong mixing dependency. This was achieved by means of the kernel estimator method, based on a single-index structure. Finally, a simulation of our methodol- ogy shows that it is efficient for large sample sizes.

Sprache
Englisch

Erschienen in
Journal: Statistics in Transition new series (SiTns) ; ISSN: 2450-0291 ; Volume: 23 ; Year: 2022 ; Issue: 2 ; Pages: 89-105 ; Warsaw: Sciendo

Thema
single functional index
conditional hazard function
nonparametric estimation,»-mixing dependency
asymptotic normality
functional data

Ereignis
Geistige Schöpfung
(wer)
Gagui, Abdelmalek
Chouaf, Abdelhak
Ereignis
Veröffentlichung
(wer)
Sciendo
(wo)
Warsaw
(wann)
2022

DOI
doi:10.2478/stattrans-2022-0018
Handle
Letzte Aktualisierung
10.03.2025, 11:44 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Gagui, Abdelmalek
  • Chouaf, Abdelhak
  • Sciendo

Entstanden

  • 2022

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