International Studies in the Philosophy of Science 6 (2):129-132 (1992)
|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)|
|Through your library||Configure|
Similar books and articles
Miklós Rédei (1992). When Can Non-Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129 – 132.
Mikl (1992). When Can Non-Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129 – 132.
David Papineau (1994). The Virtues of Randomization. British Journal for the Philosophy of Science 45 (2):437-450.
David L. Dowe (2008). Minimum Message Length and Statistically Consistent Invariant (Objective?) Bayesian Probabilistic Inference—From (Medical) “Evidence”. Social Epistemology 22 (4):433 – 460.
Frederick Eberhardt & David Danks (2011). Confirmation in the Cognitive Sciences: The Problematic Case of Bayesian Models. [REVIEW] Minds and Machines 21 (3):389-410.
M. Colombo & P. Series (2012). Bayes in the Brain--On Bayesian Modelling in Neuroscience. British Journal for the Philosophy of Science 63 (3):697-723.
Fei Xu & Joshua B. Tenenbaum (2001). Rational Statistical Inference: A Critical Component for Word Learning. Behavioral and Brain Sciences 24 (6):1123-1124.
Jan-Willem Romeijn (2005). Theory Change and Bayesian Statistical Inference. Philosophy of Science 72 (5):1174-1186.
Daniel Steel (2003). A Bayesian Way to Make Stopping Rules Matter. Erkenntnis 58 (2):213--227.
Jon Williamson, Jan-Willem Romeijn, Rolf Haenni & Gregory Wheeler (2008). Logical Relations in a Statistical Problem. In Benedikt Lowe, Jan-Willem Romeijn & Eric Pacuit (eds.), Proceedings of the Foundations of the Formal Sciences VI: Reasoning about probabilities and probabilistic reasoning. College Publications.
Arthur Dempster (1968). A Generalisation of Bayesian Inference. Journal of the Royal Statistical Society Series B 30:205-247.
John L. Pollock (1992). The Theory of Nomic Probability. Synthese 90 (2):263 - 299.
Added to index2010-09-14
Total downloads2 ( #245,680 of 722,765 )
Recent downloads (6 months)1 ( #60,247 of 722,765 )
How can I increase my downloads?