Extended Weibull Burr XII Distribution: Properties and Applications

Mohamed Abo Raya, Nadeem Shafique Butt

Abstract


A new distribution called the Weibull Generalized Burr XII distribution is introduced along with simple physical motivation. The new distribution includes fourteen sub-models, seven of them are new. The new model can be used in modeling bimodal data sets. Set of its properties are derived in details. Two applications are provided to illustrate the importance of the new model. The new model is better that other competitive models via two applications. The method of maximum likelihood is used to estimate the unknown parameters.


Keywords


Burr XII Distribution; Maximum Likelihood; Generating Function; Moments.

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DOI: http://dx.doi.org/10.18187/pjsor.v15i4.2731

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Title

Extended Weibull Burr XII Distribution: Properties and Applications

Keywords

Burr XII Distribution; Maximum Likelihood; Generating Function; Moments.

Description

A new distribution called the Weibull Generalized Burr XII distribution is introduced along with simple physical motivation. The new distribution includes fourteen sub-models, seven of them are new. The new model can be used in modeling bimodal data sets. Set of its properties are derived in details. Two applications are provided to illustrate the importance of the new model. The new model is better that other competitive models via two applications. The method of maximum likelihood is used to estimate the unknown parameters.


Date

2019-12-01

Identifier


Source

Pakistan Journal of Statistics and Operation Research; Vol. 15 No. 4, 2019



Print ISSN: 1816-2711 | Electronic ISSN: 2220-5810