fractional entropy
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2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Mohamed S. Mohamed ◽  
Haroon M. Barakat ◽  
Salem A. Alyami ◽  
Mohamed A. Abd Elgawad

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.





2019 ◽  
Vol 123 (14) ◽  
Author(s):  
Eran Sela ◽  
Yuval Oreg ◽  
Stephan Plugge ◽  
Nikolaus Hartman ◽  
Silvia Lüscher ◽  
...  


2019 ◽  
Vol 3 ◽  
pp. 100008 ◽  
Author(s):  
Maryam Asadzadeh Kaljahi ◽  
Palaiahnakote Shivakumara ◽  
Tianping Hu ◽  
Hamid A. Jalab ◽  
Rabha W. Ibrahim ◽  
...  
Keyword(s):  


Entropy ◽  
2019 ◽  
Vol 21 (4) ◽  
pp. 371 ◽  
Author(s):  
Hamid Jalab ◽  
Thamarai Subramaniam ◽  
Rabha Ibrahim ◽  
Hasan Kahtan ◽  
Nurul Noor

Forgery in digital images is immensely affected by the improvement of image manipulation tools. Image forgery can be classified as image splicing or copy-move on the basis of the image manipulation type. Image splicing involves creating a new tampered image by merging the components of one or more images. Moreover, image splicing disrupts the content and causes abnormality in the features of a tampered image. Most of the proposed algorithms are incapable of accurately classifying high-dimension feature vectors. Thus, the current study focuses on improving the accuracy of image splicing detection with low-dimension feature vectors. This study also proposes an approximated Machado fractional entropy (AMFE) of the discrete wavelet transform (DWT) to effectively capture splicing artifacts inside an image. AMFE is used as a new fractional texture descriptor, while DWT is applied to decompose the input image into a number of sub-images with different frequency bands. The standard image dataset CASIA v2 was used to evaluate the proposed approach. Superior detection accuracy and positive and false positive rates were achieved compared with other state-of-the-art approaches with a low-dimension of feature vectors.



2019 ◽  
Vol 96 (1) ◽  
pp. 585-599 ◽  
Author(s):  
Yuanyuan Wang ◽  
Pengjian Shang ◽  
Zhengli Liu


Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 722 ◽  
Author(s):  
Rabha Ibrahim ◽  
Maslina Darus

In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions. Moreover, applications in complex neural networks (CNNs) are illustrated to recognize the accuracy of CNNs.



Entropy ◽  
2018 ◽  
Vol 20 (5) ◽  
pp. 344 ◽  
Author(s):  
Ala’a Al-Shamasneh ◽  
Hamid Jalab ◽  
Shivakumara Palaiahnakote ◽  
Unaizah Obaidellah ◽  
Rabha Ibrahim ◽  
...  


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