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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

A New Extension of the Burr Type XII Distribution

Mohamed K.A. Refaie1
  • 1 Al-Ajami Higher Institute for Administrative Sciences, Egypt

Abstract

In this study, a new Burr XII distribution is defined and studied. Various structural mathematical properties of the proposed model are investigated. The maximum likelihood method is used to estimate the model parameters. We assess the performance of the MLEs of the new distribution with respect to sample size n. The assessment was based on a simulation study. The new distribution is applied for modeling two real data sets to prove empirically its flexibility. The new Burr XII model can be viewed as a suitable model for fitting the right skewed and unimodal data. The new model provides adequate fits as compared to other Burr XII models by means of two applications.

Journal of Mathematics and Statistics
Volume 14 No. 1, 2018, 261-274

DOI: https://doi.org/10.3844/jmssp.2018.261.274

Submitted On: 10 November 2018 Published On: 3 January 2019

How to Cite: Refaie, M. K. (2018). A New Extension of the Burr Type XII Distribution. Journal of Mathematics and Statistics, 14(1), 261-274. https://doi.org/10.3844/jmssp.2018.261.274

Open AccessCopyright: © 2018 Mohamed K.A. Refaie. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Burr XII Distribution
  • Burr-Hatke Distribution
  • Simulation
  • Moments
  • Maximum Likelihood Method