`Plausibilities of plausibilities': an approach through circumstances

Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties...

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Main Authors: Mana, P, Månsson, A, Björk, G
Format: Journal article
Published: 2006
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author Mana, P
Månsson, A
Björk, G
author_facet Mana, P
Månsson, A
Björk, G
author_sort Mana, P
collection OXFORD
description Probability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be traced to Laplace and Jaynes, is that the usual inferential reasonings about the probability-like parameters of a statistical model can be conceived as reasonings about equivalence classes of `circumstances' - viz., real or hypothetical pieces of knowledge, like e.g. physical hypotheses, that are useful in assigning a probability and satisfy some additional logical properties - that are uniquely indexed by the probability distributions they lead to.
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spelling oxford-uuid:7368c5c6-289c-4b37-af16-ed5d207d2e922022-03-26T19:56:11Z`Plausibilities of plausibilities': an approach through circumstancesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7368c5c6-289c-4b37-af16-ed5d207d2e92Symplectic Elements at Oxford2006Mana, PMånsson, ABjörk, GProbability-like parameters appearing in some statistical models, and their prior distributions, are reinterpreted through the notion of `circumstance', a term which stands for any piece of knowledge that is useful in assigning a probability and that satisfies some additional logical properties. The idea, which can be traced to Laplace and Jaynes, is that the usual inferential reasonings about the probability-like parameters of a statistical model can be conceived as reasonings about equivalence classes of `circumstances' - viz., real or hypothetical pieces of knowledge, like e.g. physical hypotheses, that are useful in assigning a probability and satisfy some additional logical properties - that are uniquely indexed by the probability distributions they lead to.
spellingShingle Mana, P
Månsson, A
Björk, G
`Plausibilities of plausibilities': an approach through circumstances
title `Plausibilities of plausibilities': an approach through circumstances
title_full `Plausibilities of plausibilities': an approach through circumstances
title_fullStr `Plausibilities of plausibilities': an approach through circumstances
title_full_unstemmed `Plausibilities of plausibilities': an approach through circumstances
title_short `Plausibilities of plausibilities': an approach through circumstances
title_sort plausibilities of plausibilities an approach through circumstances
work_keys_str_mv AT manap plausibilitiesofplausibilitiesanapproachthroughcircumstances
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AT bjorkg plausibilitiesofplausibilitiesanapproachthroughcircumstances