A U-statistic test in competing risk models

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. To cite this article: N. Molinari, C. R. Acad. Sci. Paris, Ser. I 341 (2005).