Journal of Statistical Theory and Applications

Volume 12, Issue 3, September 2013, Pages 225 - 244

The Zografos-Balakrishnan Log-Logistic Distribution: Properties and Applications

Authors
Manoel Wallace A. Ramos, Gauss M. Cordeiro, Pedro Rafael D. Marinho, Cicero Rafael B. Dias, G.G. Hamedani
Corresponding Author
Manoel Wallace A. Ramos
Available Online 1 September 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.3.2How to use a DOI?
Keywords
Estimation; Generating function; Log-logistic distribution; Mean deviation; Moment; Zografos- Balakrishnan log-logistic distribution
Abstract
The log-logistic distribution (also known as the Fisk distribution in economics) is widely used in survival analysis when the failure rate function presents a unimodal shape. In this paper, we introduce the Zografos- Balakrishnan log-logistic distribution, which contains the log-logistic distribution as a special model and has the four common shapes of the hazard hate function. We present some properties of the new distribution and estimate the model parameters by maximum likelihood. An application to a real data set shows that the new distribution can provide a better fit than other classical lifetime models such as the exponentiated Weibull distribution.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
12 - 3
Pages
225 - 244
Publication Date
2013/09
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.3.2How 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  - Manoel Wallace A. Ramos
AU  - Gauss M. Cordeiro
AU  - Pedro Rafael D. Marinho
AU  - Cicero Rafael B. Dias
AU  - G.G. Hamedani
PY  - 2013
DA  - 2013/09
TI  - The Zografos-Balakrishnan Log-Logistic Distribution: Properties and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 225
EP  - 244
VL  - 12
IS  - 3
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.3.2
DO  - https://doi.org/10.2991/jsta.2013.12.3.2
ID  - WallaceA.Ramos2013
ER  -