In this paper, the problem of goodness of fit test for the inverse Rayleigh distribution based on progressively Type-II censored samples is studied. We develop two test statistics via entropy and propose one new non-entropy test statistic via a pivotal method. We also study the properties of these test statistics. Critical values are obtained by simulations. Then, we do power analysis of these test statistics against various alternatives under different censoring schemes. We conclude that the tests we proposed perform well against various alternatives, especially for non-monotone hazard alternatives. Finally, one real data set is analyzed.

中文翻译：

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渐进式 II 截尾数据逆瑞利分布的基于熵和非基于熵的拟合优度检验

本文研究了基于逐步II型删失样本的逆瑞利分布的拟合优度问题。我们通过熵开发了两个测试统计量，并通过一种关键方法提出了一种新的非熵测试统计量。我们还研究了这些测试统计的属性。通过模拟获得临界值。然后，我们针对不同审查方案下的各种备选方案对这些测试统计数据进行功效分析。我们得出结论，我们提出的测试针对各种替代方案表现良好，特别是对于非单调危险替代方案。最后，分析一个真实的数据集。