Bayesian Decision Theory and Stochastic Independence

TARK 2017 (2017)
Download Edit this record How to cite View on PhilPapers
Abstract
Stochastic independence has a complex status in probability theory. It is not part of the definition of a probability measure, but it is nonetheless an essential property for the mathematical development of this theory. Bayesian decision theorists such as Savage can be criticized for being silent about stochastic independence. From their current preference axioms, they can derive no more than the definitional properties of a probability measure. In a new framework of twofold uncertainty, we introduce preference axioms that entail not only these definitional properties, but also the stochastic independence of the two sources of uncertainty. This goes some way towards filling a curious lacuna in Bayesian decision theory.
PhilPapers/Archive ID
MONBDT
Revision history
First archival date: 2017-10-20
Latest version: 2 (2018-04-02)
View upload history
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Added to PP index
2017-10-20

Total views
48 ( #29,271 of 38,076 )

Recent downloads (6 months)
19 ( #19,082 of 38,076 )

How can I increase my downloads?

Monthly downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.