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The Zografos-Balakrishnan Log-Logistic Distribution: Properties and Applications

2013; Springer Nature; Volume: 12; Issue: 3 Linguagem: Inglês

10.2991/jsta.2013.12.3.2

ISSN

2214-1766

Autores

Manoel Wallace A. Ramos, Gauss M. Cordeiro, Pedro Rafael Diniz Marinho, Cícero Rafael Barros Dias, G. G. Hamedani,

Tópico(s)

Probability and Risk Models

Resumo

The log-logistic distribution (also known as the Fisk distribution in economics) is widely used in survival analysis when the failure rate function presents a unimodal shape.In this paper, we introduce the Zografos-Balakrishnan log-logistic distribution, which contains the log-logistic distribution as a special model and has the four common shapes of the hazard hate function.We present some properties of the new distribution and estimate the model parameters by maximum likelihood.An application to a real data set shows that the new distribution can provide a better fit than other classical lifetime models such as the exponentiated Weibull distribution.

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