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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2017
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32750457002 |
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Table of Contents:
- The Extended Log-Logistic Distribution: Properties and Application STÊNIO R. LIMA GAUSS M. CORDEIRO Multidisciplinaria (Ciencias Naturales y Exactas) moment generating function Exponentiated generalize loglogistic distribution maximum likelihoodestimation 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. Key words: exponentiated generalize, generating function, log-logistic distribution, maximum likelihood estimation, moment. 2017 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32750457002 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.1 Vol.89