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The Extended Log-Logistic Distribution: Properties and Application

Overview of attention for article published in Anais da Academia Brasileira de Ciências, January 2017
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Title
The Extended Log-Logistic Distribution: Properties and Application
Published in
Anais da Academia Brasileira de Ciências, January 2017
DOI 10.1590/0001-3765201720150579
Pubmed ID
Authors

STÊNIO R. LIMA, GAUSS M. CORDEIRO

Abstract

We propose a new four-parameter lifetime model, called the extended log-logistic distribution, to generalize the two-parameter log-logistic model. The new model is quite flexible to analyze positive data. We provide some mathematical properties including explicit expressions for the ordinary and incomplete moments, probability weighted moments, mean deviations, quantile function and entropy measure. The estimation of the model parameters is performed by maximum likelihood using the BFGS algorithm. The flexibility of the new model is illustrated by means of an application to a real data set. We hope that the new distribution will serve as an alternative model to other useful distributions for modeling positive real data in many areas.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 23 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 23 100%

Demographic breakdown

Readers by professional status Count As %
Lecturer 4 17%
Professor 3 13%
Student > Master 2 9%
Student > Bachelor 2 9%
Lecturer > Senior Lecturer 1 4%
Other 2 9%
Unknown 9 39%
Readers by discipline Count As %
Mathematics 7 30%
Engineering 3 13%
Economics, Econometrics and Finance 2 9%
Computer Science 1 4%
Social Sciences 1 4%
Other 1 4%
Unknown 8 35%