Journal of Statistical Theory and Applications

Volume 13, Issue 1, March 2014, Pages 65 - 82

McDonald log-logistic distribution with an application to breast cancer data

Authors
M.H. Tahir, Muhammad Mansoor, Muhammad Zubair, G.G. Hamedani
Corresponding Author
M.H. Tahir
Received 19 October 2013, Accepted 21 February 2014, Available Online 31 March 2014.
DOI
10.2991/jsta.2014.13.1.6How to use a DOI?
Keywords
Log-logistic distribution; hazard function; reliability function, R´enyi entropy
Abstract

We introduce a five-parameter continuous model, called the McDonald log-logistic distribution, to extend the two-parameter log-logistic distribution. Some structural properties of this new distribution such as reliability measures and entropies are obtained. The model parameters are estimated by the method of maximum likelihood using L-BFGS-B algorithm. A useful characterization of the distribution is proposed which does not require explicit closed form of the cumulative distribution function and also connects the probability density function with a solution of a first order differential equation. An application of the new model to real data set shows that it can give consistently better fit than other important lifetime models.

Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 1
Pages
65 - 82
Publication Date
2014/03/31
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.2014.13.1.6How to use a DOI?
Copyright
© 2013, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - M.H. Tahir
AU  - Muhammad Mansoor
AU  - Muhammad Zubair
AU  - G.G. Hamedani
PY  - 2014
DA  - 2014/03/31
TI  - McDonald log-logistic distribution with an application to breast cancer data
JO  - Journal of Statistical Theory and Applications
SP  - 65
EP  - 82
VL  - 13
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2014.13.1.6
DO  - 10.2991/jsta.2014.13.1.6
ID  - Tahir2014
ER  -