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

Year 2015, Volume: 44 Issue: 6, 1491 - 1512, 01.12.2015

Morad Alizadeh , Mahdi Emadi Mahdi Doostparast Gauss M. Cordeiro , Edwin M.m. Ortega , Rodrigo R. Pescim

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

References

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