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

作者：Alizadeh Morad^*; Emadi Mahdi; Doostparast Mahdi; Cordeiro Gauss M; Ortega Edwin M M; Pescim Rodrigo R

来源：Hacettepe Journal of Mathematics and Statistics, 2015, 44(6): 1491-1512.

• Generated function
• Log-logistic distribution
• Maximum likelihood
• Moment
• Order statistic
• Quantile function

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.

• 出版日期2015-12