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.


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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