The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application

DOI

10.2991/jsta.2018.17.1.5How to use a DOI?

Keywords

Kumaraswamy-G; Maximum likelihood; Log-Logistic; Order statistic

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.

Copyright

Copyright © 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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TY  - JOUR
AU  - Selen Cakmakyapan
AU  - Gamze Ozel
AU  - Yehia Mousa Hussein El Gebaly
AU  - G. G. Hamedani
PY  - 2018
DA  - 2018/03/31
TI  - The Kumaraswamy Marshall-Olkin Log-Logistic Distribution with Application
JO  - Journal of Statistical Theory and Applications
SP  - 59
EP  - 76
VL  - 17
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2018.17.1.5
DO  - 10.2991/jsta.2018.17.1.5
ID  - Cakmakyapan2018
ER  -