Semi- and non-parametric competing risks analysis of right censored data and failure cause missing completely at random

Laurent Bordes (1) , Jean-Yves Dauxois (2) , Pierre Joly (3)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]
2 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
3 EHF - Laboratoire d'Ecologie des Hydrosystèmes Fluviaux

A nonparametric and a semiparametric additive hazards rate competing risks model with censoring and failure cause possibly missing completely at random is considered. Estimators of the unknown parameters are proposed in order to satisfy some optimality criteria. Large sample results are given for all the estimators. Our nonparametric method is applied to a real data set and the behavior of the semiparametric estimators are analyzed through a Monte Carlo study.

Domaines: Statistiques [math.ST]; Théorie [stat.TH]

Laurent Bordes, Jean-Yves Dauxois, Pierre Joly. Semi- and non-parametric competing risks analysis of right censored data and failure cause missing completely at random. 2010. ⟨hal-00501865v1⟩