@techreport{heckerman1986an,
author = {Heckerman, David},
title = {An Axiomatic Framework for Belief Updates},
year = {1986},
month = {October},
abstract = {In the 1940's, a physicist named Cox provided the first formal justification for the axioms of probability based on the subjective or Bayesian interpretation. He showed that if a measure of belief satisfies several fundamental properties, then the measure must be some monotonic transformation of a probability. In this paper, measures of change in belief or belief updates are examined. In the spirit of Cox, properties for a measure of change in belief are enumerated. It is shown that if a measure satisfies these properties, it must satisfy other restrictive conditions. For example, it is shown that belief updates in a probabilistic context must be equal to some monotonic transformation of a likelihood ratio. It is hoped that this formal explication of the belief update paradigm will facilitate critical discussion and useful extensions of the approach.},
url = {http://approjects.co.za/?big=en-us/research/publication/axiomatic-framework-belief-updates/},
edition = {Proceedings of the Second Conference on Uncertainty in Artificial Intelligence (UAI1986)},
number = {UAI-P-1986-PG-123-128},
note = {SPIE Astronomy Telescopes and Instruments},
}