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Abstract
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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.
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