Skip navigation
Skip navigation

CDF-quantile distributions for modelling random variables on the unit interval

Smithson, Michael; Shou, Yiyun


This paper introduces a two-parameter family of distributions for modelling random variables on the (0,1) interval by applying the cumulative distribution function of one ‘parent’ distribution to the quantile function of another. Family members have explicit probability density functions, cumulative distribution functions and quantiles in a location parameter and a dispersion parameter. They capture a wide variety of shapes that the beta and Kumaraswamy distributions cannot. They are amenable...[Show more]

CollectionsANU Research Publications
Date published: 2017
Type: Journal article
Source: British Journal of Mathematical and Statistical Psychology
DOI: 10.1111/bmsp.12091


File Description SizeFormat Image
01_Smithson_CDF-quantile_distributions_for_2017.pdf450.31 kBAdobe PDF    Request a copy

Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator