ABSTRACT In this paper, we develop a simple nonparametric test for testing the independence of time to failure and cause of failure in competing risks set up. We generalise the test to the situation where failure data is right censored. We obtain the asymptotic distribution of the test statistics for complete and censored data. The efficiency loss due to censoring is studied using Pitman efficiency. The performance of the proposed test is evaluated through simulations. Finally we illustrate our test procedure using three real data sets.

中文翻译：

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在有 k 个原因的竞争风险中测试失效时间和失效原因之间的独立性

摘要 在本文中，我们开发了一个简单的非参数测试，用于测试在竞争风险设置中出现故障的时间和故障原因的独立性。我们将测试推广到失效数据被右删失的情况。我们获得完整和删失数据的检验统计量的渐近分布。使用皮特曼效率研究由于删失造成的效率损失。建议测试的性能通过模拟进行评估。最后，我们使用三个真实数据集来说明我们的测试程序。