A New Generalization of the Gumbel Distribution With Climate Application

Authors

Hussein Eledum, Department of Statistics, Faculty of Science, University of Tabuk, KSAFollow
Mohammed Ahmmed Mosilhy, Department of Statistics, Faculty of Science, University of Tabuk, KSA\\ Department of Mathematics, Faculty of Science, Cairo University, EgyptFollow

Abstract

In this paper, we propose a new generalization of the Gumbel distribution named the Cubic Transmuted Gumbel distribution (CTGD) based on a cubic ranking transmutation map. Statistical properties of CTGD such as reliability function, hazard function, moments, moment generating function, quantile function, and simulation of the random sample are studied. The parameters of CTGD are estimated using the Maximum Likelihood method. Finally, an application of CTGD using two real data sets on climate change is conducted to illustrate and compare with the base Gumbel distribution (GD) and transmuted Gumbel distribution (TGD). CTGD was found to be a better fit than GD and TGD.

Recommended Citation

Eledum, Hussein and Ahmmed Mosilhy, Mohammed (2022) "A New Generalization of the Gumbel Distribution With Climate Application," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/32