Kumaraswamy and beta distribution are related by the logistic map
Statistics Theory
2011-06-21 v1 Dynamical Systems
Probability
Statistics Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1104.0581,
title = {Kumaraswamy and beta distribution are related by the logistic map},
author = {Baltasar Trancón y Widemann},
journal= {arXiv preprint arXiv:1104.0581},
year = {2011}
}