###
ISIPTA'07 -
FIFTH INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITY: THEORIES AND APPLICATIONS

###
Charles University, Faculty of Mathematicsand Physics

Prague, Czech Republic

16-19 July 2007

## ELECTRONIC PROCEEDINGS

## Thomas Fetz

# Multiparameter models: Probability distributions parameterized by random sets.

### Abstract

This paper is devoted to the construction of sets of joint probability
measures for the case that the marginal sets of probability measures are
generated by probability measures with uncertain parameters where the
uncertainty of these parameters is modelled by random sets. Futher we
show how different conditions on the choice of the weights of the joint
focal sets and on the probability measures associated to these sets lead
to different sets of joint probability measures including the cases of strong independence, random set independence and unknown interaction.

** Keywords. ** Random sets, lower and upper probabilities, sets of probability measures, parameterized probability measures, sets of joint probability measures, strong independence, random set independence, unknown interaction.

** Paper Download **

The paper is availabe in the following formats:

** Authors addresses: **

Institut für Grundlagen der Bauingenieurwissenschaften, AB Technische Mathematik,

Technikerstraße 13, Innsbruck

** E-mail addresses: **

[ back
to the Proceedings of ISIPTA'07 home page ]

Send any remarks to the following address:
smc@decsai.ugr.es