no. 5
Statistics
A U-statistic test in competing risk models
[Une U-statistique pour les modèles à risques compétitifs]

Présenté par : Paul Deheuvels

Molinari, Nicolas1
1 Laboratoire de biostatistique, institut universitaire de recherche clinique, 641, avenue Gaston-Giraud, 34093 Montpellier, France
Comptes Rendus. Mathématique, Tome 341 (2005) no. 5, pp. 317-322.

Considérons la situation où un individu est soumis à différents risques compétitifs de décès et à un processus de censure indépendant. Une approche, basée sur une U-statistique, permet de tester l'hypothèse d'égalité de deux risques compétitifs. Sous des hypothèses d'indépendence, nous obtenons la distribution asymptotique de la statistique de test.

We consider a situation in which systems are subject to failure from competing risks or could be censored from an independent censoring process. A procedure, based on a U-statistic, is proposed for testing the equality of two failure rates in the competing risks set. Under independence assumptions, the asymptotic distribution of the statistic is given and used to construct the test.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2005.07.016
Molinari, Nicolas 1

1 Laboratoire de biostatistique, institut universitaire de recherche clinique, 641, avenue Gaston-Giraud, 34093 Montpellier, France 
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Molinari, Nicolas. A U-statistic test in competing risk models. Comptes Rendus. Mathématique, Tome 341 (2005) no. 5, pp. 317-322. doi : 10.1016/j.crma.2005.07.016. http://archive.numdam.org/articles/10.1016/j.crma.2005.07.016/

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