Relative belief inferences are shown to arise as Bayes rules or limiting Bayes rules. These inferences are invariant under reparameterizations and possess a number of optimal properties. In particular, relative belief inferences are based on a direct measure of statistical evidence.
翻译:相对信念推断被证明可作为贝叶斯规则或极限贝叶斯规则而产生。这些推断在重参数化下具有不变性,并具备一系列最优性质。特别值得注意的是,相对信念推断建立在统计证据的直接度量基础之上。