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
Available Online 31 March 2014.
DOI
https://doi.org/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.
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This is an open access article distributed under the CC BY-NC license.

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
13 - 1
Pages
65 - 82
Publication Date
2014/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2014.13.1.6How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - M.H. Tahir
AU  - Muhammad Mansoor
AU  - Muhammad Zubair
AU  - G.G. Hamedani
PY  - 2014
DA  - 2014/03
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  - https://doi.org/10.2991/jsta.2014.13.1.6
ID  - Tahir2014
ER  -