A new generalized Weibull-Gompertz distribution and its properties. Issue 4 (19th May 2022)

• Record Type: Journal Article
• Authors: Zendehdel, Javad; Zarei, Reza; Mahmoudi, Seyed Mahdi
• Is Part Of: Journal of statistics & management systems. Volume 25:Issue 4(2022)
• Page Start: 837
• Page End: 856
• Publication Date: 2022-05-19
• Subjects: 62E10 -- 62E15 -- 62F15; Weibull distribution -- Gompertz distribution -- New modified Weibull -- Hazard function -- Maximum likelihood estimation -- Bayes estimation; Statistics -- Periodicals; Mathematical models -- Periodicals; Mathematical models; Statistics; Periodicals; 519.5
• DOI: 10.1080/09720510.2021.1938997
• Languages: English
• ISSNs: 0972-0510

Abstract

Abstract: In this paper, we proposed a new lifetime distribution called new generalized Weibull-Gompertz (NGWG) by considering a serial system with one component following a Weibull distribution and another following a generalized Weibull-Gompertz distribution. Several properties of the NGWG such as hazard function, moments, order statistics and maximum likelihood and Bayesian estimation are studied in this paper. A real data set is analyzed and it is observed that the present distribution can provide a better fit than some other well-known distributions such as modified Weibull and beta modified Weibull.