Inferential models have recently gained in popularity for valid uncertainty quantification. In this paper, we investigate inferential models by exploring relationships between inferential models, fiducial inference, and confidence curves. In short, we argue that from a certain point of view, inferential models can be viewed as fiducial distribution based confidence curves. We show that all probabilistic uncertainty quantification of inferential models is based on a collection of sets we name principled sets and principled assertions.
翻译:假设模型最近在有效不确定性量化方面越来越受欢迎。 在本文中,我们通过探索推断模型、推断模型和信心曲线之间的关系来调查推断模型。 简言之,我们争论说,从某种观点看,推断模型可被视为基于分布分布的可信度曲线。 我们表明,推断模型的所有概率不确定性量化都是基于我们命名的一套原则性数据集和原则性主张。