论文标题

作为不确定性理论的主要化

Majorisation as a theory for uncertainty

论文作者

Volodina, Victoria, Sonenberg, Nikki, Wheatcroft, Edward, Wynn, Henry

论文摘要

多数化(也称为重排的不平等)产生了一种随机排序,可以比较两个或多个分布。在本文中,我们认为,作为不确定性的理论是一个很好的候选人。我们介绍了可以在一系列环境中研究不确定性的操作,并通过众所周知的分布和气候投影和能源系统的应用来评估不确定性的方法。

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.

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