An Extension of the UEHL Distribution Based on the DUS Transformation

Year 2023, Issue: 44, 20 - 30, 30.09.2023

Murat Genç , Ömer Özbilen

https://doi.org/10.53570/jnt.1317652

Cited By: 2

Abstract

In this study, we propose a new distribution based on the Dinesh, Umesh, and Sanjay (DUS) transformation by using the Unit Exponentiated Half-Logistic (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 (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

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