Objective: We provide a new stochastic representation for a Kumaraswamy random variable with arbitrary non-negative parameters. The representation is in terms of maxima and minima of independent distributed standard uniform components and extends a similar representation for integer-valued parameters. Result: The result is further extended for generalized classes of distributions obtained from a “base” distribution functionFviz.G(x) =H(F(x)), whereHis the CDF of Kumaraswamy distribution.
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Kozubowski et al. (2018) studied this question.
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