Fractional Entropy-Based Test of Uniformity with Power Comparisons

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 statist...

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Main Authors:	Mohamed S. Mohamed, Haroon M. Barakat, Salem A. Alyami, Mohamed A. Abd Elgawad
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2021/5331260

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spelling	doaj-18f4842114ee425082e410022487fb1c2021-08-02T00:01:34ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5331260Fractional Entropy-Based Test of Uniformity with Power ComparisonsMohamed S. Mohamed0Haroon M. Barakat1Salem A. Alyami2Mohamed A. Abd Elgawad3Department of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2021/5331260
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Mohamed S. Mohamed Haroon M. Barakat Salem A. Alyami Mohamed A. Abd Elgawad
spellingShingle	Mohamed S. Mohamed Haroon M. Barakat Salem A. Alyami Mohamed A. Abd Elgawad Fractional Entropy-Based Test of Uniformity with Power Comparisons Journal of Mathematics
author_facet	Mohamed S. Mohamed Haroon M. Barakat Salem A. Alyami Mohamed A. Abd Elgawad
author_sort	Mohamed S. Mohamed
title	Fractional Entropy-Based Test of Uniformity with Power Comparisons
title_short	Fractional Entropy-Based Test of Uniformity with Power Comparisons
title_full	Fractional Entropy-Based Test of Uniformity with Power Comparisons
title_fullStr	Fractional Entropy-Based Test of Uniformity with Power Comparisons
title_full_unstemmed	Fractional Entropy-Based Test of Uniformity with Power Comparisons
title_sort	fractional entropy-based test of uniformity with power comparisons
publisher	Hindawi Limited
series	Journal of Mathematics
issn	2314-4785
publishDate	2021-01-01
description	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.
url	http://dx.doi.org/10.1155/2021/5331260
work_keys_str_mv	AT mohamedsmohamed fractionalentropybasedtestofuniformitywithpowercomparisons AT haroonmbarakat fractionalentropybasedtestofuniformitywithpowercomparisons AT salemaalyami fractionalentropybasedtestofuniformitywithpowercomparisons AT mohamedaabdelgawad fractionalentropybasedtestofuniformitywithpowercomparisons
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Fractional Entropy-Based Test of Uniformity with Power Comparisons

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