Vidal's libraryTitle: | Bayesian and non-bayesian evidential updating |
Author: | Henry E. Kyburg, Jr. |
Journal: | Artificial Intelligence |
Volume: | 31 |
Number: | 3 |
Pages: | 271--293 |
Year: | 1987 |
Abstract: | Four main results are arrived at in this paper. (1) Closed convex sets of classical probability functions provide a representation of belief that includes the representations provided by Shafer probability mass functions as a special case. (2) The impact of "uncertain evidence" can be (formally) represented by Dempster conditioning, in Shafer's framework. (3) The impact of "uncertain evidence" can be (formally) represented in the framework of convex sets of classical probabilities by classical conditionalization. (4) The probability intervals that result from Dempster-Shafer updating on uncertain evidence are included in (and may be properly included in) the intervals that result from Bayesian updating on uncertain evidence. |
Cited by 301 - Google Scholar
@Article{henry87a,
author = {Henry E. Kyburg, Jr.},
title = {Bayesian and non-bayesian evidential updating},
googleid = {4avD0ezDNBoJ:scholar.google.com/},
journal = {Artificial Intelligence},
year = 1987,
volume = 31,
number = 3,
pages = {271--293},
abstract = {Four main results are arrived at in this paper. (1)
Closed convex sets of classical probability
functions provide a representation of belief that
includes the representations provided by Shafer
probability mass functions as a special case. (2)
The impact of "uncertain evidence" can be (formally)
represented by Dempster conditioning, in Shafer's
framework. (3) The impact of "uncertain evidence"
can be (formally) represented in the framework of
convex sets of classical probabilities by classical
conditionalization. (4) The probability intervals
that result from Dempster-Shafer updating on
uncertain evidence are included in (and may be
properly included in) the intervals that result from
Bayesian updating on uncertain evidence.},
keywords = {ai bayesian},
cluster = {1888349565674040289}
}
Last modified: Wed Mar 9 10:13:45 EST 2011