The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application

Authors

Selen Cakmakyapan, Hacettepe University
Gamze Ozel, Hacettepe University
Yehia Mousa Hussein El Gebaly, Benha University
Gholamhossein G. Hamedani, Marquette UniversityFollow

Document Type

Article

Language

eng

Publication Date

5-2018

Publisher

Atlantis Press

Source Publication

Journal of Statistical Theory and Applications

Source ISSN

1538-7887

Abstract

In this paper, we define and study a new lifetime model called the Kumaraswamy Marshall-Olkin log-logistic distribution. The new model has the advantage of being capable of modeling various shapes of aging and failure criteria. The new model contains some well-known distributions as special cases such as the Marshall-Olkin log-logistic, log-logistic, lomax, Pareto type II and Burr XII distributions. Some of its mathematical properties including explicit expressions for the quantile and generating functions, ordinary moments, skewness, kurtosis are derived. The maximum likelihood estimators of the unknown parameters are obtained. The importance and flexibility of the new model is proved empirically using a real data set.

Comments

Published version. Journal of Statistical Theory and Applications, Vol. 17, No. 1 (May 2018): 59-76. DOI. © 2018, the Authors. Published by Atlantis Press. This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Creative Commons License

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

Recommended Citation

Cakmakyapan, Selen; Ozel, Gamze; El Gebaly, Yehia Mousa Hussein; and Hamedani, Gholamhossein G., "The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application" (2018). Mathematics, Statistics and Computer Science Faculty Research and Publications. 645.
https://epublications.marquette.edu/mscs_fac/645