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