A new family of distributions: the Kumaraswamy odd log-logistic, properties and applications

Authors : Morad ALİZADEH, Mahdi EMADİ, Mahdi DOOSTPARAST, Gauss M. CORDEİRO, Edwin M.m. ORTEGA, Rodrigo R. PESCİM

Pages : 1491-1512

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Publication Date : 2015-12-01

Article Type : Research Paper

Abstract :In this paper, a new family of distributions, called the Kumaraswamy odd log-logistic, is proposed and studied. Some mathematical properties are presented and special models are discussed. The asymptotes and shapes are investigated. The family density function is given by a linear combination of exponentiated densities following the same baseline model. We derive a power series for the quantile function, explicit expressions for the moments, quantile and generating functions and order statistics. We provide a bivariate extension of the new family. Its performance is illustrated by means of two real data sets. 
Keywords : Generated function, Log logistic distribution, Maximum likelihood, Moment, Order statistics, Quantile function