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ISIPTA'07 -
FIFTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

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Charles University, Faculty of Mathematicsand Physics

Prague, Czech Republic

16-19 July 2007

## ELECTRONIC PROCEEDINGS

## Pablo Fierens

# An extension of chaotic probability models to real-valued variables

### Abstract

Previous works have presented a frequentist interpretation of sets of measures as probabilistic models which have denominated chaotic models. Those models, however, dealt only with sets of probability measures on finite algebras, that is, probability measures which can be related to variables with a finite number of possible values. In this paper, an extension of chaotic models is proposed in order to deal with the more general case of real-valued variables.

** Keywords. ** Imprecise probabilities, foundations of probability, chaotic probability models, frequentist interpretation.

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** Authors addresses: **

Rincon 11,

3 A,

Buenos Aires (1081)

ARGENTINA

** E-mail addresses: **

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