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 Ciencjournal_title
Anais da Academia Brasileira de Cienciasauthors
Lima SR,Cordeiro GMdoi
10.1590/0001-3765201720150579subject
Has Abstractpub_date
2017-01-01 00:00:00pages
3-17issue
1eissn
0001-3765issn
1678-2690pii
S0001-37652017000100003journal_volume
89pub_type
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journal_title:Anais da Academia Brasileira de Ciencias
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