The extended-exponential distribution: properties, estimation methods, and applications | [Journal of Applied Probability and Statistics • 2023]

Author(s):

1. Hazem Al-Mofleh: Division of Science and Mathematics, Eureka College, Eureka, IL 61530, USA; Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan

2. Ekramy A. Hussein: Department of Statistics, Al-Azhar University,Nasr City 11651,Egypt

3. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University,Benha 13511,Egypt

4. Badr Alnssyan: Department of Management Information Systems and Production Management, College of Business and Economics, Qassim University,Buraydah 51452,Saudi Arabia

5. 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.

Page(s): 51-80

DOI: DOI not available

Published: Journal: Journal of Applied Probability and Statistics, Volume: 18, Issue: 3, Year: 2023

Keywords:

Simulation , and phrases , Exponential distribution , data analysis , AndersonDarling Estimation , Statistical model , Ren´yi entropy , Cramer´von Mises estimation

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