IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

30 June - 2 July 1999

** Abstract **

This paper shows how the logic of gambles corresponding to Peter Walley's system of Imprecise Probability can be extended to allow gambles involving infinitesimal values and infinite values. This logic can then be used for reasoning with infinitesimal probabilities alongside conventional reasoning with linear constraints on probabilities. The proof theory is shown to be sound and complete for finite input sets.

** Keywords. ** Imprecise Probability, Probabilistic Logic, infinitesimals, order of magnitude probabilistic reasoning.

The paper is available in the following formats and sites:

- Gzipped postscript file (Granada - Spain)
- Gzipped postscript file (Sao Paulo - Brasil)
- Gzipped postscript file (Gent - Belgium)
- Postscript file (Granada - Spain)
- Postscript file (Sao Paulo - Brasil)
- Postscript file (Gent - Belgium)

School of Computing

and Mathematical Sciences

Oxford Brookes University

Gipsy Lane, Headington, Oxford,

OX3 0BP, U.K.

** E-mail addresses: **

Nic Wilson | pnwilson@brookes.ac.uk |

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