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.
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.
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Nicolas Molinari 1
@article{CRMATH_2005__341_5_317_0, author = {Nicolas Molinari}, title = {A {\protect\emph{U}-statistic} test in competing risk models}, journal = {Comptes Rendus. Math\'ematique}, pages = {317--322}, publisher = {Elsevier}, volume = {341}, number = {5}, year = {2005}, doi = {10.1016/j.crma.2005.07.016}, language = {en}, }
Nicolas Molinari. A U-statistic test in competing risk models. Comptes Rendus. Mathématique, Volume 341 (2005) no. 5, pp. 317-322. doi : 10.1016/j.crma.2005.07.016. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.07.016/
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