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New extended burr type X distribution

Authors:

Arwa Y. Al-Saiari ,

King Abdulaziz University, Jeddah, SA
About Arwa Y.
Department of Statistics, Faculty of Science
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Lamya A. Baharith,

King Abdulaziz University, Jeddah, SA
About Lamya A.
Department of Statistics, Faculty of Science
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Salwa A. Mousa

Al-Azhar University, Nasr City, Cairo, EG
About Salwa A.
Faculty of Commerce (Girls Campus)
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Abstract

This study introduces a new extended distribution of the Burr Type X distribution, using Marshall-Olkin method called the Marshall-Olkin Extended Burr Type X distribution. The new distribution is formulated by inducing a tilt parameter in the Burr Type X distribution of Marshall-Olkin, to account for the significance of the size of an event. Model parameters are obtained using maximum likelihood and Bayesian methods of estimation. The scale and shape parameters are specifically defined to identify the dimensions and density of an event. Mathematical and statistical properties and limitations of the distribution are also presented. Lifetime data analysis is performed to demonstrate the model’s applicability and flexibility. Akaike and Bayesian Information Criteria illustrate that the new distribution provides better fit compared to other distributions.

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite: Al-Saiari, A.Y., Baharith, L.A. & Mousa, S.A., (2016). New extended burr type X distribution. Sri Lankan Journal of Applied Statistics. 17(3), pp.217–231. DOI: http://doi.org/10.4038/sljastats.v17i3.7904
Published on 30 Dec 2016.
Peer Reviewed

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