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

By Laurent Bordes, Jean-Yves Dauxois and Pierre Joly

Abstract

We consider a nonparametric and a semiparametric (in presence of covariates) additive hazards rate competing risks model with censoring and failure cause possibly missing completely at random. Estimators of the unknown parameters are proposed in order to satisfy some optimality criteria. Large ample 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

Topics: survival analysis, Additive hazards, competing risks, counting processes, missing failure cause, reliability, survival analysis., 62G20, 62N01, 62N05, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]
Publisher: HAL CCSD
Year: 2007
OAI identifier: oai:HAL:hal-00193032v1
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