Galoitica: Journal of Mathematical Structures and Applications
GJMSA
2834-5568
10.54216/GJSMA
https://www.americaspg.com/journals/show/1690
2022
2022
Comparison of Some Entropy Measures for Non-Central Fisher Probability Distribution
Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Mazeat
Koreny
Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria
Mohamed Bisher
Zeina
Department of Basic Science, Faculty of Informatics Engineering, University of Aleppo, Aleppo, Syria
Shaza
Zubeadah
In this paper, many entropy measures of noncentral Fisher distribution were driven including Shannon, Renyi, Sharma, Havrda, Arimoto and Tsallis. A comparison between these entropies was made according to distribution’s shift parameter, distribution’s degrees of freedom, shape parameter and truncation parameter. The entropy that had less relative loss was said to be better than the other. There were significant differences according to all studied parameters except the shift parameter and we found that the best entropy of the mentioned entropies for noncentral Fisher distribution was Renyi entropy.
2023
2023
17
35
10.54216/GJMSA.050102
https://www.americaspg.com/articleinfo/33/show/1690