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

DOI

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.

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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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  - 2013/09/01
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  - 10.2991/jsta.2013.12.3.2
ID  - WallaceA.Ramos2013
ER  -