The Bayes’ factor: the coherent measure for hypothesis confirmation

Taroni F, Garbolino P, Bozza S, et al.
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Abstract
What have been called ‘Bayesian confirmation measures’ or ‘evidential support measures’ offer a numerical expression for the impact of a piece of evidence on a judicial hypothesis of interest. The Bayes’ factor, sometimes simply called the ‘likelihood ratio’, represents the best measure of the value of the evidence. It satisfies a number of necessary conditions on normative logical adequacy. It is shown that the same cannot be said for alternative expressions put forward by some legal and forensic quarters. A list of desiderata are given that support the choice of the Bayes’ factor as the best measure for quantification of the value of evidence.
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贝叶斯因子:假设确认的连贯测度
摘要所谓的“贝叶斯确认措施”或“证据支持措施”为一项证据对司法利益假设的影响提供了一种数值表达。贝叶斯因子,有时简称为“似然比”,代表了对证据价值的最佳衡量。它满足规范性逻辑充分性的若干必要条件。这表明,对于一些法律和法医部门提出的替代表达方式,情况并非如此。给出了一个理想的列表,支持选择贝叶斯因子作为量化证据价值的最佳度量。
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