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FIRST INTERNATIONAL
SYMPOSIUM ON

IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

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Ghent, Belgium

30 June - 2 July 1999

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** ELECTRONIC PROCEEDINGS **

## Kurt Weichselberger

# The Theory of Interval-Probability as a Unifying Concept for Uncertainty

** Abstract **

The concept of interval-probability is motivated by the goal to generalize
classical probability so that it can be used for describing uncertainty in
general. The foundations of the theory are based on a system of three
axioms -- in addition to Kolmogorov's axioms -- and definitions of
independence as well as of conditional probability. The resulting theory
does not depend upon interpretations of the probability concept.
As an example of generalizing classical results the Bayes'
rule is described -- other theorems are only mentioned.

** Keywords. ** Interval-probability, uncertainty, conditional probability, Bayes' Rule

The paper is available in the following formats:

** Authors addresses: **

Prof. Kurt Weichselberger

Department of Statistics

Ludwigstr. 33/I

D 80539 Munich

** E-mail addresses: **

** Related Web Sites **

Weichselberger Kurt

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