The Marshall-Olkin Generalized-G Family of Distributions with Applications

Authors

  • Haitham M. Yousof Benha University
  • Ahmed Z. Afify Benha University
  • Saralees Nadarajah University of Manchester
  • Gholamhossein Hamedani Marquette University
  • Gokarna Raj Aryal Purdue University Northwest

DOI:

https://doi.org/10.6092/issn.1973-2201/7662

Keywords:

Marshall-Olkin distribution, Order statistics, Parameter estimation, Simulation

Abstract

We introduce a new class of distributions called the Marshall-Olkin generalized-G family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, order statistics are discussed. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.

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Published

2018-12-21

How to Cite

Yousof, H. M., Afify, A. Z., Nadarajah, S., Hamedani, G., & Aryal, G. R. (2018). The Marshall-Olkin Generalized-G Family of Distributions with Applications. Statistica, 78(3), 273–295. https://doi.org/10.6092/issn.1973-2201/7662

Issue

Vol. 78 No. 3 (2018)

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Articles

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