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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, March 2017
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Title
The Extended Log-Logistic Distribution: Properties and Application
Published in
Anais da Academia Brasileira de Ciências, March 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

The data shown below were compiled from readership statistics for 27 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 27 100%

Demographic breakdown

Readers by professional status Count As %
Unspecified 7 26%
Lecturer 4 15%
Researcher 4 15%
Professor 3 11%
Student > Bachelor 2 7%
Other 4 15%
Unknown 3 11%
Readers by discipline Count As %
Unspecified 7 26%
Mathematics 7 26%
Engineering 3 11%
Energy 3 11%
Economics, Econometrics and Finance 2 7%
Other 2 7%
Unknown 3 11%

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 06 May 2017.
All research outputs
#11,064,278
of 12,446,028 outputs
Outputs from Anais da Academia Brasileira de Ciências
#205
of 318 outputs
Outputs of similar age
#220,575
of 260,831 outputs
Outputs of similar age from Anais da Academia Brasileira de Ciências
#9
of 29 outputs
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So far Altmetric has tracked 318 research outputs from this source. They receive a mean Attention Score of 2.0. This one is in the 1st percentile – i.e., 1% of its peers scored the same or lower than it.
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We're also able to compare this research output to 29 others from the same source and published within six weeks on either side of this one. This one is in the 1st percentile – i.e., 1% of its contemporaries scored the same or lower than it.