论文标题
加权日志级测试的单调性属性
A monotonicity property of weighted log-rank tests
论文作者
论文摘要
Logrank检验是一种众所周知的非参数检验，通常用于比较包括右审查观测值在内的两个样本的存活分布，也称为Mantel-Haenszel检验。 Harrington and Fleming（1982）引入的$ G^ρ$测试家族通过使用分配给观察值的权重来概括Logrank测试。在本文中，我们为$ g^ρ$测试家族提供了一个单调性属性，该属性是由于需要在不精确的数据观察时获得测试统计量的界限所激发的。
The logrank test is a well-known nonparametric test which is often used to compare the survival distributions of two samples including right censored observations, it is also known as the Mantel-Haenszel test. The $G^ρ$ family of tests, introduced by Harrington and Fleming (1982), generalizes the logrank test by using weights assigned to observations. In this paper, we present a monotonicity property for the $G^ρ$ family of tests, which was motivated by the need to derive bounds for the test statistic in case of imprecise data observations.
