Kumaraswamy and beta distribution are related by the logistic map

Details Kumaraswamy and beta distribution are related by the logistic map Kumaraswamy and beta distribution are related by the logistic map

2011-04-04

arxiv.org/abs/1104.0581v1

Mathematics

Statistics Theory

Scientific paper

The Kumaraswamy distribution has been proposed as an alternative to the beta distribution with more benign algebraic properties. They have the same two parameters, the same support and qualitatively similar shape for any parameter values. There is a generic relationship between the distributions established by a simple transformation between arbitrary Kumaraswamy-distributed random variables and certain beta-distributed random variables. Here, a different relationship is established by means of the logistic map, the paradigmatic example of a discrete non-linear dynamical system.

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