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- Title
On Modified Burr XII-Inverse Weibull Distribution: Properties and Applications.
- Authors
Bhatti, Fiaz Ahmad; Hamedani, G. G.; Yousof, Haitham M.; Ali, Azeem; Ahmad, Munir
- Abstract
In this paper, a new lifetime distribution called modified Burr XII-inverse Weibull (MBXII-IW) distribution is developed from T-X family technique. The MBXII-IW distribution is very flexible and its hazard rate function accommodates various shapes. The density function of the MBXII-IW is exponential, left-skewed, right-skewed and symmetrical shaped. To show the importance of the proposed distribution, we derive mathematical properties such as ordinary moments, generating function, residual life functions, reliability measures and characterizations. We address the maximum likelihood estimation technique for the model parameters. We evaluate the performance of the maximum likelihood estimators via a simulation study. We consider an application to a real data set to clarify the potentiality and utility of the MBXII-IW model.
- Subjects
WEIBULL distribution; MAXIMUM likelihood statistics; GENERATING functions; HAZARD function (Statistics)
- Publication
Pakistan Journal of Statistics & Operation Research, 2020, Vol 16, Issue 4, p721
- ISSN
1816-2711
- Publication type
Article
- DOI
10.18187/pjsor.v16i4.2622