Fractional Entropy-Based Test of Uniformity with Power Comparisons

Faculty Science Year: 2021
Type of Publication: ZU Hosted Pages:
Authors:
Haroun Mohammed Abdel-Fattah Barakat
Journal: Journal of mathematics Hidawi Volume:
Keywords : Fractional Entropy-Based Test , Uniformity with Power Comparisons    
Abstract:
In the present paper, we use the fractional and weighted cumulative residual entropy measures to test the uniformity. 'e 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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  • Haroun Mohammed Abdel-Fattah Barakat, "Random translation, dilation and contraction of order statistics", El-Sevier, 2014 More
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  • Haroun Mohammed Abdel-Fattah Barakat, "Asymptotic distributions of order statistics and record values arising from the class of beta-generated distributions", Taylor &Francis, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "LIMIT THEORY FOR JOINT GENERALIZED ORDER STATISTICS", Taylor &Francis, 2014 More
  • Haroun Mohammed Abdel-Fattah Barakat, "Statistical Modeling of Extreme Values with Applications to Air Pollution", Science Puplications publisher, 2012 More

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