Bayesian Foundations
Coherence, de Finetti, and decision-theoretic interpretation.
Bayesian Foundations. Coherence, de Finetti, and decision-theoretic interpretation.
Foundations and canonical references
The standard treatments of bayesian foundations approach the subject from complementary angles. Jeffreys, Theory of Probability (1961) provides historical context and an early systematic exposition of the material. Robert, The Bayesian Choice (2007) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for bayesian foundations include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · historical · 1961Theory of Probabilityjeffreys-1961
- textbook · primary · 2007The Bayesian Choicerobert-2007
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