In this paper, we develop an empirical likelihood-based test for the presence of stochastic ordering under censoring in the k-sample case. The proposed test statistic is formed by taking the supremum of localized empirical likelihood ratio test statistics. Its asymptotic null distribution has a simple representation in terms of a standard Brownian motion process. Through simulations, we show that it outperforms in terms of power existing methods for the same problem at all the distributions that we consider. A real-life example is used to illustrate the applicability of this new test.

中文翻译：

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审查下是否存在随机排序的测试：k 样本情况

在本文中，我们开发了一种基于经验似然的检验，用于检验 k 样本情况下审查下随机排序的存在。建议的检验统计量是通过取局部经验似然比检验统计量的上限值而形成的。其渐近零分布在标准布朗运动过程方面具有简单的表示。通过模拟，我们表明它在我们考虑的所有分布中针对同一问题的现有方法的功效优于现有方法。一个真实的例子被用来说明这个新测试的适用性。