Abdullah H. Al-nefaie This email address is being protected from spambots. You need JavaScript enabled to view it.1 and Ibrahim E. Ragab2

1Quantitative Methods Department, School of Business, King Faisal University, Al Ahsa, Saudi Arabia
2Higher Institute of Computer, King Mariout, Alexandria 23713, Egypt


 

Received: December 28, 2021
Accepted: March 23, 2022
Publication Date: June 17, 2022

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.


Download Citation: ||https://doi.org/10.6180/jase.202303_26(3).0012  


ABSTRACT


A novel three-parameter lifetime model called the Marshall Olkin power Ailamujia (MOPA) distribution is developed. The statistical qualities and reliability characteristics of the proposed model are examined, including moment, generating function, incomplete moments, mean deviation, Bonferroni, and Lorenz curves. The maximum likelihood technique has been used to investigate the estimate of underlying parameters. Finally, two real-world datasets are utilized to show the model’s applicability.


Keywords: Marshall-Olkin Family; Power Ailamujia; Hazard Rate Function; Moments; Residual Analysis; Maximum Likelihood Estimation


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