In the present paper, we use the fractional and weighted cumulative residual entropy measures to test the uniformity. The limit distribution and an approximation of the distribution of the test statistic based on the fractional cumulative residual entropy are derived. Moreover, for this test statistic, percentage points and power against seven alternatives are reported. Finally, a simulation study is carried out to compare the power of the proposed tests and other tests of uniformity.

中文翻译：

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具有功效比较的基于分数熵的均匀性检验

在本文中，我们使用分数和加权累积剩余熵度量来测试均匀性。导出了基于分数累积残差熵的检验统计量的极限分布和近似分布。此外，对于此测试统计数据，报告了相对于七种替代方案的百分比和功效。最后，进行模拟研究以比较所提出的测试和其他均匀性测试的功效。