Different Representations of Uncertainty
If you are interested in difference between belief functions and
probabilities, you should look at the technical report:
- RG Almond [1992]
- ``Models for Incomplete Failure Data.'' StatSci Research
Report 9. (Click Here to
Download) Describes the difference between belief function and
probability models.
which contains an expanded view of the concepts discussed here. The
book Almond[1995] also contains an elementary
discussion of both probability and belief function models.
References
- RG Almond [1995]
- Graphical Belief Modelling Chapman and Hall (Click Here For
Ordering Information.. Revised
version of Fusion and Propagation in Graphical Belief
Models: An Implementation and an Example. Ph.D.
dissertation and Harvard University, Department of
Statistics Technical Report S-130.
- RG Almond [1993]
- ``Lack of Information Based Control in Expert Systems.''
In Hand, D.J (ed). Artificial Intelligence Frontiers in
Statistics: AI and Statistics III, Chapman and Hall,
pp 82--89. Describes a technique for tracing information
through a graphical model.
- P Cheeseman [1986]
- ``Probabilistic versus Fuzzy Reasoning.'' in LN Kanal and JF
Lemmer (eds.), Uncertainty in Artificial Intelligence,
Elsevier Science Publishers, 85--102.
- AP Dempster [1968]
- ``A Generalization of Bayesian Inference (with discussion).''
Journal of the Royal Statistical Society, Series B,
30, 205-247.
- AP Dempster and CTA Kong [1988]
- ``Uncertain Evidence and Artificial Analysis.'' Journal of
Statistical Planning and Inference, 20, 355-368.
Reprinted in Shafer and Pearl[1990].
- G Shafer [1976]
- A Mathematical Theory of Evidence.
Princeton University Press.
- G Shafer [1990]
- ``Perspectives on the Theory and Practice of Belief Functions.''
International Journal of Approximate Reasoning, 4,
323--362.
- G Shafer and J Pearl [1990]
- Readings in Uncertain Reasoning. Morgan Kaufmann.
- PP Shenoy and G Shafer [1990]
- ``Axioms for Probability and Belief-Function Propagation.''
in Uncertainty in Artificial Intelligence, 4,
169-198. Reprinted in Shafer and
Pearl[1990].
- P Walley [1991]
- Statistical Reasoning with Imprecise Probabilities.
Chapman and Hall.
View a list
of Graphical-Belief in publications and downloadable technical reports.
Uncertainty Return to the main discussion of
uncertainty in Graphical-Belief.
Weight of Evidence.
Graphical-Belief contains some powerful test
selection capabilities based on the idea of weight of evidence.
This example explores a few.
Return to
the main example page.
Back to overview of Graphical-Belief.
View a list
of Graphical-Belief in publications and downloadable technical
reports.
The Graphical-Belief user
interface is implemented in Garnet.
Get more
information about obtaining Graphical-Belief (and why
it is not generally available).
get
the home page for Russell Almond , author
of Graphical-Belief.
Click
here to get to the home page for Insightful (the company that StatSci
has eventually evolved into).
Russell Almond, <lastname> (at) acm.org
Last modified: Fri Aug 16 18:54:25 1996