When can non‐commutative statistical inference be Bayesian?


Authors
Miklós Rédei
London School of Economics
Abstract
Abstract Based on recalling two characteristic features of Bayesian statistical inference in commutative probability theory, a stability property of the inference is pointed out, and it is argued that that stability of the Bayesian statistical inference is an essential property which must be preserved under generalization of Bayesian inference to the non?commutative case. Mathematical no?go theorems are recalled then which show that, in general, the stability can not be preserved in non?commutative context. Two possible interpretations of the impossibility of generalization of Bayesian statistical inference to the non?commutative case are offered, none of which seems to be completely satisfying
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1080/02698599208573421
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,355
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann (eds.), Probabilities in Physics. Oxford University Press. pp. 115-142.
Is There a Stability Problem for Bayesian Noncommutative Probabilities?Giovanni Valente - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (4):832-843.
On Quantum Conditional Probability.Isabel Guerra Bobo - 2013 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 28 (1):115-137.
On Quantum Conditional Probability.Isabel Guerra Bobo - 2013 - Theoria : An International Journal for Theory, History and Fundations of Science 28 (1):115-137.

Add more citations

Similar books and articles

When Can Non-Commutative Statistical Inference Be Bayesian? Mikl - 1992 - International Studies in the Philosophy of Science 6 (2):129 – 132.
The Virtues of Randomization.David Papineau - 1994 - British Journal for the Philosophy of Science 45 (2):437-450.
Bayes in the Brain--On Bayesian Modelling in Neuroscience.M. Colombo & P. Series - 2012 - British Journal for the Philosophy of Science 63 (3):697-723.
Theory Change and Bayesian Statistical Inference.Jan‐Willem Romeijn - 2005 - Philosophy of Science 72 (5):1174-1186.
A Generalisation of Bayesian Inference.Arthur Dempster - 1968 - Journal of the Royal Statistical Society Series B 30:205-247.
The Theory of Nomic Probability.John L. Pollock - 1992 - Synthese 90 (2):263 - 299.

Analytics

Added to PP index
2010-05-07

Total views
31 ( #296,788 of 2,286,136 )

Recent downloads (6 months)
3 ( #413,317 of 2,286,136 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature