Cubic Transmuted Fre ́chet Distribution

Authors

Mohammed Ahmed Mosilhy, Depatment of Mathematics, Faculty of Science, Cairo University, Egypt\\ Department of Statistics, Faculty of Science, University of Tabuk, KSAFollow
Hussein Eledum, Department of Statistics, Faculty of Science, University of Tabuk, KSA\\ Department of Statistics, Faculty of Science and Technology, Shendi University, SudanFollow

Abstract

In this paper, we have introduced a new generalization of the Fre ́chet distribution named as the Cubic Transmuted Fre ́chet distribution (CTFD) based on cubic ranking transmutation map. Furthermore, we have derived some properties of the proposed distribution including survival and hazard functions, moments, moment generating function, quantile function and random number generation. The estimation of CTFD parameters has been done using Maximum Likelihood method. Finally, an application of the proposed distribution CTFD using two uncensored data is conducted to illustrate and compare with the base Fre ́chet distribution and Transmuted Freshet distribution. It has been observed that the proposed distribution CTFD provides a better fit for the two datasets as compared to the other distributions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110110

Recommended Citation

Ahmed Mosilhy, Mohammed and Eledum, Hussein (2022) "Cubic Transmuted Fre ́chet Distribution," Journal of Statistics Applications & Probability: Vol. 11: Iss. 1, Article 10.
DOI: http://dx.doi.org/10.18576/jsap/110110
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss1/10