`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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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. |
first_indexed | 2024-03-06T23:53:27Z |
format | Journal article |
id | oxford-uuid:7368c5c6-289c-4b37-af16-ed5d207d2e92 |
institution | University of Oxford |
last_indexed | 2024-03-06T23:53:27Z |
publishDate | 2006 |
record_format | dspace |
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 AT manssona plausibilitiesofplausibilitiesanapproachthroughcircumstances AT bjorkg plausibilitiesofplausibilitiesanapproachthroughcircumstances |