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Fractional Entropy-Based Test of Uniformity with Power Comparisons

Author

Listed:
  • Mohamed S. Mohamed
  • Haroon M. Barakat
  • Salem A. Alyami
  • Mohamed A. Abd Elgawad
  • Ahmet Ocak Akdemir

Abstract

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.

Suggested Citation

  • Mohamed S. Mohamed & Haroon M. Barakat & Salem A. Alyami & Mohamed A. Abd Elgawad & Ahmet Ocak Akdemir, 2021. "Fractional Entropy-Based Test of Uniformity with Power Comparisons," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, July.
    • Handle: RePEc:hin:jjmath:5331260
    DOI: 10.1155/2021/5331260
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    Cited by:

    1. Mohamed S. Mohamed & Haroon M. Barakat & Salem A. Alyami & Mohamed A. Abd Elgawad, 2022. "Cumulative Residual Tsallis Entropy-Based Test of Uniformity and Some New Findings," Mathematics, MDPI, vol. 10(5), pages 1-14, February.
    2. Fatimah E. Almuhayfith & Mahfooz Alam & Hassan S. Bakouch & Sudeep R. Bapat & Olayan Albalawi, 2024. "Linear Combination of Order Statistics Moments from Log-Extended Exponential Geometric Distribution with Applications to Entropy," Mathematics, MDPI, vol. 12(11), pages 1-15, June.

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