Majorisation as a theory for uncertainty
Statistics Theory
2021-06-17 v3 Statistics Theory
Abstract
Majorisation, also called rearrangement inequalities, yields a type of stochastic ordering in which two or more distributions can be compared. In this paper we argue that majorisation is a good candidate as a theory for uncertainty. We present operations that can be applied to study uncertainty in a range of settings and demonstrate our approach to assessing uncertainty with examples from well known distributions and from applications of climate projections and energy systems.
Cite
@article{arxiv.2007.10725,
title = {Majorisation as a theory for uncertainty},
author = {Victoria Volodina and Nikki Sonenberg and Edward Wheatcroft and Henry Wynn},
journal= {arXiv preprint arXiv:2007.10725},
year = {2021}
}