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Conditional Degree of Belief and Bayesian Inference
Philosophy of Science ( IF 1.4 ) Pub Date : 2020-04-01 , DOI: 10.1086/707554
Jan Sprenger

Why are conditional degrees of belief in an observation E, given a statistical hypothesis H, aligned with the objective probabilities expressed by H? After showing that standard replies (ratio analysis of conditional probability, chance-credence coordination) are not satisfactory, I develop a suppositional analysis of conditional degree of belief, transferring Ramsey’s classical proposal to statistical inference. The analysis saves the alignment, explains the role of chance-credence coordination, and rebuts the charge of arbitrary assessment of evidence in Bayesian inference. Finally, I explore the implications of this analysis for Bayesian reasoning with idealized models in science.

中文翻译:

条件置信度和贝叶斯推理

为什么在给定统计假设 H 的情况下,观察 E 的条件置信度与 H 表示的客观概率一致?在表明标准答复(条件概率的比率分析、机会-信任协调)不令人满意之后,我开发了条件置信度的假设分析,将 Ramsey 的经典建议转移到统计推断中。该分析保存了对齐,解释了机会-信任协调的作用,并反驳了贝叶斯推理中任意评估证据的指控。最后,我探索了这种分析对科学中理想化模型的贝叶斯推理的影响。
更新日期:2020-04-01
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