Weighted logrank tests are a popular tool for analysing right-censored survival data from two independent samples. Each of these tests is optimal against a certain hazard alternative, for example, the classical logrank test for proportional hazards. But which weight function should be used in practical applications? We address this question by a flexible combination idea leading to a testing procedure with broader power. Besides the test's asymptotic exactness and consistency, its power behaviour under local alternatives is derived. All theoretical properties can be transferred to a permutation version of the test, which is even finitely exact under exchangeability and showed a better finite sample performance in our simulation study. The procedure is illustrated in a real data example.

中文翻译：

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更强大的二样本生存数据的对数排列测试

加权对数秩检验是一种流行的工具，用于分析来自两个独立样本的右删失生存数据。这些测试中的每一个都是针对某个风险替代方案的最佳选择，例如，比例风险的经典 logrank 测试。但是在实际应用中应该使用哪个权重函数呢？我们通过一个灵活的组合理念来解决这个问题，从而产生一个具有更广泛能力的测试程序。除了测试的渐近精确性和一致性外，还推导出了其在局部替代方案下的幂行为。所有理论属性都可以转移到测试的置换版本中，这在可交换性下甚至是有限精确的，并且在我们的模拟研究中显示出更好的有限样本性能。该过程在一个真实的数据示例中进行了说明。