Philosophical Foundations of Probabilities

Pierre Dangauthier 1
1 E-MOTION - Geometry and Probability for Motion and Action
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes
Abstract : This document presents some views on the semantic of the probability notion. It's mainly a summary of different readings, in particular of a Stanford Encyclopaedia of Philosophy article. Probabilities are daily used in real world application, often without a clear understanding of their mathematical foundation and of the meaning we attach to them. This lack of understanding often leads to bad interpretations of statistical/probabilistic procedures (e.g. p-values of tests), and is an obstacle for research. Nowadays there is a debate opposing frequentists to bayesians, but we'll see that the problem of interpreting probabilities is broader, even if we'll present some strong clues in favour of bayesianism.
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https://hal.inria.fr/inria-00102049
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Submitted on : Friday, September 29, 2006 - 9:38:39 AM
Last modification on : Wednesday, April 11, 2018 - 1:52:58 AM
Long-term archiving on : Monday, September 20, 2010 - 5:04:25 PM

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Pierre Dangauthier. Philosophical Foundations of Probabilities. [Research Report] RR-5988, INRIA. 2006, pp.14. ⟨inria-00102049v2⟩

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