FOURTH INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS
Carnegie Mellon University
Pittsburgh, PA, USA
July 20-23 2005

ISIPTA'05 ELECTRONIC PROCEEDINGS

Damjan Škulj

Generalized Conditioning in Neighbourhood Models

Abstract

Sets of probability measures which form neighbourhoods of additive probability measures are studied. An application of the Jeffrey's rule of conditioning to forming neighbourhoods of probability measures is proposed. Neighbourhoods that are closed for generalized conditioning according to this rule are characterized. They are shown to be exactly convex and bi-elastic neighbourhoods.

Keywords. interval probability, robust statistics, non-additive probabilities, neighbourhood models

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Authors addresses:

Kardeljeva ploscad 5
1000 Ljubljana

E-mail addresses:

Damjan Škulj damjan.skulj@fdv.uni-lj.si


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