An Extension of the UEHL Distribution Based on the DUS Transformation

Authors : Murat GENÇ, Ömer ÖZBİLEN

Pages : 20-30

Doi:10.53570/jnt.1317652

View : 61 | Download : 44

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :In this study, we propose a new distribution based on the Dinesh, Umesh, and Sanjay insert ignore into journalissuearticles values(DUS); transformation by using the Unit Exponentiated Half-Logistic insert ignore into journalissuearticles values(UEHL); distribution as the baseline distribution, a member of the family of proportional hazard rate models. Moreover, we study several properties, such as moments, skewness, kurtosis, stress-strength reliability, and likelihood ratio ordering. Further, we discuss the statistical inference on the parameters of the proposed distribution by the maximum likelihood estimation insert ignore into journalissuearticles values(MLE); method. Besides, we conduct a simulation based on the new distribution to investigate the behavior of the maximum likelihood estimates in various conditions. Furthermore, we present a numerical example to show the performance of the distribution on a real-life data set. Finally, we discuss the need for further research.
Keywords : DUS transformation, UEHL distribution, maximum likelihood estimator, data analysis