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New distributions for modeling subjective lower and upper probabilities

Smithson, Michael; Blakey, Parker


This paper presents an investigation of a relatively unstudied approach to modeling lower and upper subjective probabilities. It is based on the fact that every cumulative distribution function (CDF) with support (0,1) has a “dual” CDF that obeys the conjugacy relation between coherent lower and upper probabilities. A new 2-parameter family of “CDF-Quantile” distributions with support (0,1) is extended via a third parameter for the purpose of modeling lower–upper probabilities via this...[Show more]

CollectionsANU Research Publications
Date published: 2018-05-31
Type: Journal article
Source: International Journal of Approximate Reasoning
DOI: 10.1016/j.ijar.2018.05.007
Access Rights: Open Access


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