In the present article, we propose jackknife empirical likelihood (JEL) ratio test for testing the independence of time to failure and cause of failure in competing risks data. We use U-statistic theory to derive the JEL ratio test. The asymptotic distribution of the test statistic is shown to be chi-square distribution with one degree of freedom. A Monte Carlo simulation study is carried out to assess the finite sample behaviour of the proposed test. The performance of proposed JEL test is compared with the test given in Dewan et al. (2004). Finally we illustrate our test procedure using various real data sets.

翻译：在本篇文章中,我们建议用jacknife经验性概率(JEL)比率测试时间与失败和失败原因的独立性,以测试相互竞争的风险数据;我们使用U-统计理论来得出JEL比率测试;测试统计数据的无症状分布显示为具有某种程度的自由的香水平方分布;进行蒙特卡洛模拟研究以评估拟议测试的有限抽样行为;将拟议的JEL试验的进行与Dewan等人(2004年)的测试进行比较;最后,我们用各种真实数据集来说明我们的测试程序。