论文标题

电子价值和完整的贝叶斯意义测试:逻辑特性和哲学后果

The e-value and the Full Bayesian Significance Test: Logical Properties and Philosophical Consequences

论文作者

Stern, Julio Michael, Pereira, Carlos Alberto de Braganca, Lauretto, Marcelo de Souza, Esteves, Luis Gustavo, Izbicki, Rafael, Stern, Rafael Bassi, Diniz, Marcio Alves, Borges, Wagner de Souza

论文摘要

本文对电子价值(H | X)进行了概念回顾 - 假设H给定观察结果的认知价值。开发了这种统计显着性度量,以通过全部贝耶斯显着性测试(FBST)(FBST)进行了逻辑上相干和一致的假设测试,包括巧妙或精确的假设。分析的参数允许通过其逻辑或组成特性对该统计检验进行全面表征,显示数学统计结果与该理论基础上的逻辑desiderata之间的相互互补性。

This article gives a conceptual review of the e-value, ev(H|X) -- the epistemic value of hypothesis H given observations X. This statistical significance measure was developed in order to allow logically coherent and consistent tests of hypotheses, including sharp or precise hypotheses, via the Full Bayesian Significance Test (FBST). Arguments of analysis allow a full characterization of this statistical test by its logical or compositional properties, showing a mutual complementarity between results of mathematical statistics and the logical desiderata lying at the foundations of this theory.

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