Translator Disclaimer
August 2017 On the strong convergence of the hazard rate and its maximum risk point estimators in presence of censorship and functional explanatory covariate
Komi Agbokou, Kossi Essona Gneyou
Afr. Stat. 12(3): 1397-1416 (August 2017). DOI: 10.16929/as/2017.1296.110

Abstract

In the literature much work has been devoted to the non-parametric estimation of survival analysis functions. In this work, we focus on the nonparametric estimation of the conditional hazard rate and the point of its maximum, in the model of right censored data with presence of functional covariate. We establish the almost uniform complete convergence of these estimators at appropriate rates. This generalizes the almost sure convergence obtained in the literature.

Dans la littérature beaucoup de travaux ont été consacrés à l'estimation non-paramétrique des fonctions d'analyse de survie. Dans ce travail, nous nous focalisons sur l'estimation non-paramétrique du taux de hasard conditionnel et du point de son maximum, dans le modèle des données censurées à droite et en présence de covariable fonctionnelle. Nous établissons la convergence uniforme presque complète de ces estimateurs à des vitesses appropriées. Ce qui généralise la convergence presque sûre obtenue dans la littérature.

Citation

Download Citation

Komi Agbokou. Kossi Essona Gneyou. "On the strong convergence of the hazard rate and its maximum risk point estimators in presence of censorship and functional explanatory covariate." Afr. Stat. 12 (3) 1397 - 1416, August 2017. https://doi.org/10.16929/as/2017.1296.110

Information

Received: 18 June 2017; Accepted: 1 August 2017; Published: August 2017
First available in Project Euclid: 4 January 2018

zbMATH: 06825112
MathSciNet: MR3743305
Digital Object Identifier: 10.16929/as/2017.1296.110

Subjects:
Primary: 62N01, 62N02, 62P10, 62P12

Rights: Copyright © 2017 The Statistics and Probability African Society

JOURNAL ARTICLE
20 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.12 • No. 3 • August 2017
Back to Top