论文标题

两样本的非参数测试,用于比例反向危险

Two-sample nonparametric test for proportional reversed hazards

论文作者

Khan, Ruhul Ali

论文摘要

自过去几十年以来,在比例逆转危险率(PRHR)的背景下进行了几项工作。但是,文献中都没有关于PRHR假设的任何特定统计方法。在本文中,提出了基于两个独立样本的两样本非参数检验,以验证PRHR假设。基于U统计的一致统计方法,已经开发出利用U统计理论,折刀经验可能性和调整后的Jackknife经验可能性方法,开发了三种统计方法。已经进行了仿真研究,以评估拟议的测试程序的优点。最后,在与脑损伤相关的生物标志物和与公爵eme肌营养不良有关的数据的背景下,该测试应用于数据。

Several works have been undertaken in the context of proportional reversed hazard rate (PRHR) since last few decades. But any specific statistical methodology for the PRHR hypothesis is absent in the literature. In this paper, a two-sample nonparametric test based on two independent samples is proposed for verifying the PRHR assumption. Based on a consistent U-statistic three statistical methodologies have been developed exploiting U-statistics theory, jackknife empirical likelihood and adjusted jackknife empirical likelihood method. A simulation study has been performed to assess the merit of the proposed test procedures. Finally, the test is applied to a data in the context of brain injury-related biomarkers and a data related to Ducheme muscular dystrophy.

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