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Asymptotic normality of a conditional hazard function estimate in the single index for quasi-associated data

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  • Daoudi Hamza
  • Boubaker Mechab
  • Chikr Elmezouar Zouaoui

Abstract

The main goal of this paper is to study the estimation of the conditional hazard function of a scalar response variable Y given a hilbertian random variable X in functional single-index model. We construct an estimator of this nonparametric function and we study its asymptotic properties, under quasi-associated structure. Precisely, we establish the asymptotic normality of the constructed estimator. We carried out simulation experiments to examine the behavior of this asymptotic property over finite sample data.

Suggested Citation

  • Daoudi Hamza & Boubaker Mechab & Chikr Elmezouar Zouaoui, 2020. "Asymptotic normality of a conditional hazard function estimate in the single index for quasi-associated data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(3), pages 513-530, February.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:3:p:513-530
    DOI: 10.1080/03610926.2018.1549248
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    Cited by:

    1. Hamza Daoudi & Zouaoui Chikr Elmezouar & Fatimah Alshahrani, 2023. "Asymptotic Results of Some Conditional Nonparametric Functional Parameters in High-Dimensional Associated Data," Mathematics, MDPI, vol. 11(20), pages 1-24, October.

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