Extended Gompertz Distribution: Properties and Estimation under Complete and Censored Data

Authors

M. S. Eliwa, Department of Statistics and Operation Research, College of Science, Qassim University, P.O. Box 6644, Buraydah 51482, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
M. Masoom Ali, Department of Mathematical Science, Ball State University, Muncie, Indiana, USAFollow
A. El-Gohary, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
R. El-Desokey, Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
Mohamed Ibrahim, Department of Applied, Mathematical and Actuarial Statistics, Faculty of Commerce, Damietta University, Damietta, EgyptFollow
M. El-Morshedy, Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia\\ Department of Statistics and Computer Sciences, Faculty of Science, Mansoura, University, Mansoura 35516, EgyptFollow

Abstract

In this paper, a new flexible model with three-parameter alternative to exponential and Gompertz distributions is proposed. Some of its statistical properties are derived including quantities, moments, incomplete moments, moment of residual and reversed residual life. The parameters are estimated using the maximum likelihood method based on complete and Type II right censored data. We assess the performance of estimators in terms of bias and mean square error using simulation study. Finally, three real data sets are analyzed to illustrate the flexibility of the proposed model.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/110328

Recommended Citation

S. Eliwa, M.; Masoom Ali, M.; El-Gohary, A.; El-Desokey, R.; Ibrahim, Mohamed; and El-Morshedy, M. (2022) "Extended Gompertz Distribution: Properties and Estimation under Complete and Censored Data," Journal of Statistics Applications & Probability: Vol. 11: Iss. 3, Article 28.
DOI: http://dx.doi.org/10.18576/jsap/110328
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol11/iss3/28