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Stable non-standard imprecise probabilities

Hosni, Hykel and Montagna, Franco (2014) Stable non-standard imprecise probabilities. In: Laurent, Anne, Strauss, Olivier, Bouchon-Meunier, Bernadette and Yager, Ronald R., (eds.) Information Processing and Management of Uncertainty in Knowledge-Based Systems: 15th International Conference, IPMU 2014, Montpellier, France, July 15-19, 2014. Proceedings, Part III. Communications in Computer and Information Science (444). Springer-Verlag, New York, USA, pp. 436-445. ISBN 9783319088518

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Identification Number: 10.1007/978-3-319-08852-5_45

Abstract

Stability arises as the consistency criterion in a betting interpretation for hyperreal imprecise previsions, that is imprecise previsions (and probabilities) which may take infinitesimal values. The purpose of this work is to extend the notion of stable coherence introduced in [8] to conditional hyperreal imprecise probabilities. Our investigation extends the de Finetti-Walley operational characterisation of (imprecise) prevision to conditioning on events which are considered "practically impossible" but not "logically impossible".

Item Type: Book Section
Official URL: http://www.springer.com/
Additional Information: © 2014 Springer
Divisions: CPNSS
Subjects: B Philosophy. Psychology. Religion > BC Logic
H Social Sciences > HE Transportation and Communications
Q Science > QA Mathematics > QA76 Computer software
Sets: Research centres and groups > Centre for Philosophy of Natural and Social Science (CPNSS)
Date Deposited: 07 Jul 2014 14:50
Last Modified: 20 Feb 2019 06:11
URI: http://eprints.lse.ac.uk/id/eprint/57566

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