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Fractional Entropy-Based Test of Uniformity with Power Comparisons
Journal article   Open access  Peer reviewed

Fractional Entropy-Based Test of Uniformity with Power Comparisons

Mohamed S. Mohamed, Haroon M. Barakat, Salem A. Alyami and Mohamed A. Abd Elgawad
Journal of mathematics (Hidawi), Vol.2021, pp.1-7
2021

Abstract

Mathematics Physical Sciences Science & Technology
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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https://doi.org/10.1155/2021/5331260View
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