The Extended Log-Logistic Distribution: Properties and Application.

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.

journal_name

An Acad Bras Cienc

authors

Lima SR,Cordeiro GM

doi

10.1590/0001-3765201720150579

subject

Has Abstract

pub_date

2017-01-01 00:00:00

pages

3-17

issue

1

eissn

0001-3765

issn

1678-2690

pii

S0001-37652017000100003

journal_volume

89

pub_type

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