The Extended Marshall-Olkin Burr III Distribution: Properties and Applications | [Pakistan Journal of Statistics and Operation Research • 2021]

Author(s):

1. Muhammad Ahsan ul Haq: College of Statistical & Actuarial Sciences, University of the Punjab,Pakistan

2. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University,Egypt

3. Hazem Al-Mofleh: Department of Mathematics, Tafila Technical University,Tafila 66110,Jordan

4. Muhammad Usman: College of Statistical & Actuarial Sciences, University of the Punjab,Pakistan

5. Mohammed Alqawba: Department of Mathematics, College of Science and Arts, Qassim University,Ar Rass,Saudi Arabia

6. Abdullah M. Sarg: Department of Statistics, Mathematics and Insurance, Benha University,Egypt

Abstract:

We study a new continuous distribution called the Marshall-Olkin modified Burr III distribution. The density function of the proposed model can be expressed as a mixture of modified Burr III densities. A comprehensive account of its mathematical properties is derived. The model parameters are estimated by the method of maximum likelihood. The usefulness of the derived model is illustrated over other distributions using a real data set.

Page(s): 1-14

DOI: 10.18187/pjsor.v17i1.3649

Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 17, Issue: 1, Year: 2021

Keywords:

Moments , maximum likelihood , Order statistic , Lifetime data , MarshallOlkin family , Modified Burr III

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