Fractional Entropy-Based Test of Uniformity with Power Comparisons | Zendy

Mohamed Said Mohamed | Zendy; H. M. Barakat | Zendy; Salem A. Alyami | Zendy; Mohamed A. Abd Elgawad | Zendy

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Fractional Entropy-Based Test of Uniformity with Power Comparisons

Author(s) -

Mohamed Said Mohamed,

H. M. Barakat,

Salem A. Alyami,

Mohamed A. Abd Elgawad

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/5331260

Subject(s) - mathematics , residual entropy , residual , statistic , statistics , entropy (arrow of time) , test statistic , statistical hypothesis testing , statistical physics , algorithm , thermodynamics , physics , configuration entropy

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.

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