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

作者: Manoel Wallace A. Ramos , Gauss M. Cordeiro , Pedro Rafael D. Marinho , Cicero Rafael B. Dias , G.G. Hamedani

DOI: 10.2991/JSTA.2013.12.3.2

关键词: Half-normal distributionLog-Cauchy distributionMathematicsUnivariate distributionInverse-chi-squared distributionRatio distributionStatisticsLog-logistic distributionDistribution fittingExponentiated Weibull distribution

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

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