Fractional Entropy-Based Test of Uniformity with Power Comparisons
Said, Mohamed; Haroon M. Barakat; Salem A. Alyami; Mohamed A. Abd Elgawad;
Abstract
In the present paper, we use the fractional and weighted cumulative residual entropy measures to test the uniformity. 'e 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.
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.
Other data
Title | Fractional Entropy-Based Test of Uniformity with Power Comparisons | Authors | Said, Mohamed ; Haroon M. Barakat; Salem A. Alyami; Mohamed A. Abd Elgawad | Issue Date | 22-Jul-2021 | Publisher | Hindawi | Journal | Journal of Mathematics | Volume | 2021 | DOI | https://doi.org/10.1155/2021/5331260 |
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