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The extended-exponential distribution: properties, estimation methods, and applications

Author(s)
Hazem Al-Mofleh Division of Science and Mathematics, Eureka College, Eureka, IL 61530, USA; Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan
Ekramy A. Hussein Department of Statistics, Al-Azhar University,Nasr City 11651,Egypt
Ahmed Z. Afify Department of Statistics, Mathematics and Insurance, Benha University,Benha 13511,Egypt
Badr Alnssyan Department of Management Information Systems and Production Management, College of Business and Economics, Qassim University,Buraydah 51452,Saudi Arabia
Ashraf D. Abdellatif Department of Technological Management and Information, Higher Technological Institute,10th of Ramadan City,Egypt
Abstract
summary This paper is presenting a new flexible probability distribution which named as Khalil new generalized exponential (KNGEx) distribution. We introduce its mathematical properties. The hazard function of the KNGEx distribution can be increasing, decreasing, and inverted bathtub. The parameters of the distribution are estimated using eight classical methods. Simulation studies based on complete sample are done. Finally, two applications to medicine and engineering data sets are presented. The analyzed data revealed that the proposed distribution could potentially be very useful in describing and modeling both data sets as compared to many other competing distributions.
Publication Details
Page(s) 51-80
DOI DOI not available
Published Journal: Journal of Applied Probability and Statistics, Volume: 18, Issue: 3, Year: 2023

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Keywords
Simulation, and phrases, Exponential distribution, data analysis, Anderson-Darling Estimation, Statistical model, Ren´yi entropy, Cramer´-von Mises estimation
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