The Weibull Marshall–Olkin Lindley distribution: properties and estimation. Issue 1 (1st January 2020)

• Record Type: Journal Article
• Authors: Afify, Ahmed Z.; Nassar, Mazen; Cordeiro, Gauss M.; Kumar, Devendra
• Is Part Of: Journal of Taibah University for science. Volume 14:Issue 1(2020)
• Page Start: 192
• Page End: 204
• Publication Date: 2020-01-01
• Subjects: Lindley distribution -- maximum product of spacing -- order statistic -- Weibull Marshall Olkin-G family; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2020.1715017
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract : We obtain some properties of the Weibull Marshall–Olkin Lindley distribution. Its hazard rate function can be increasing, decreasing, bathtub-shaped, decreasing-increasing-decreasing and unimodal. We compare the performance of some methods to estimate its model parameters by means of extensive simulations. The potentiality of the new distribution to modeling real-life data is shown using two real data sets.