Kumaraswamy Distribution and Random Extrema

Tomasz J. Kozubowski () and Krzysztof Podgórski
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Tomasz J. Kozubowski: Department of Mathematics & Statistics, University of Nevada, Reno, NV, USA
Krzysztof Podgórski: Department of Statistics, Lund University, Lund, Sweden

The Open Statistics and Probability Journal, 2018, vol. 9, issue 1, 18-25

Abstract: 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 function Fviz.G(x) = H(F(x)), where H is the CDF of Kumaraswamy distribution.

Keywords: Distortion function; Distribution theory; Extremes; Kumaraswamy generalized distribution; Marshall-Olkin scheme; Proportional hazards transform; Quadratic transmutation map; Random extrema; Sibuya distribution. (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:ben:tostpj:v:9:y:2018:i:1:p:18-25

DOI: 10.2174/1876527001809010017

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