Fractional Entropy-Based Test of Uniformity with Power Comparisons-Reference-Cited by-同舟云学术

Fractional Entropy-Based Test of Uniformity with Power Comparisons

Published:2021-07-21 Issue: Volume:2021 Page:1-7
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Mohamed Mohamed S.¹^ORCID,Barakat Haroon M.²^ORCID,Alyami Salem A.³,Abd Elgawad Mohamed A.⁴⁵^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, Egypt

2. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt

3. Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 13318, Saudi Arabia

4. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt

5. School of Computer Science and Technology, Wuhan University of Technology, Wuhan 430070, China

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.

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2021/5331260.pdf

Reference22 articles.

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