'Plausibilities of plausibilities': an approach through circumstances
(English)Manuscript (Other academic)
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.
Quantum Physics (quant-ph); Artificial Intelligence (cs.AI)
IdentifiersURN: urn:nbn:se:kth:diva-7258OAI: oai:DiVA.org:kth-7258DiVA: diva2:12215
QC 201008102007-06-012007-06-012010-08-16Bibliographically approved