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Lower Previsions for Unbounded Random Variables

  • Matthias C. M. Troffaes
  • Gert de Cooman
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 16)

Abstract

In order to generalise Walley’s theory of lower previsions, which are real-valued maps on bounded random variables, to arbitrary random variables, we introduce extended lower previsions as extended real-valued maps on arbitrary, not necessarily bounded, random variables. We suggest and motivate conditions for avoiding sure loss, coherence and linearity, we construct a natural extension, and we suggest a way to generalise some of the more advanced topological results from the existing theory of lower previsions.

Keywords

Linear Space Rational Agent Natural Extension Linear Prevision Lower Prevision 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Matthias C. M. Troffaes
    • 1
  • Gert de Cooman
    • 1
  1. 1.SYSTeMS Research GroupGhent UniversityZwijnaardeBelgium

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