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

A New Extension of the Lomax Distribution with Statistical Properties and Applications to Failure and Service Times Data Sets

Mohamed K.A. Refaie1
  • 1 Agami High Institute of Administrative Sciences, Egypt

Abstract

In this work, we introduce and study a new alternative Lomax model. The maximum likelihood method is used to estimate the unknown model parameters. We show empirically the importance and wide flexibility of the new model in modeling two types of failure times data sets. The new model is much better than the gamma Lomax, exponentiated Lomax, beta Lomax and Lomax models so the new model is a good alternative to these models.

Journal of Mathematics and Statistics
Volume 15 No. 1, 2019, 1-11

DOI: https://doi.org/10.3844/jmssp.2019.1.11

Submitted On: 16 November 2018 Published On: 2 February 2019

How to Cite: Refaie, M. K. (2019). A New Extension of the Lomax Distribution with Statistical Properties and Applications to Failure and Service Times Data Sets. Journal of Mathematics and Statistics, 15(1), 1-11. https://doi.org/10.3844/jmssp.2019.1.11

Open AccessCopyright: © 2019 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

  • Lomax Model
  • Odd Lindley-G Family
  • Estimation