Assignment of Single Values to Probability Intervals, Evaluation of Conditional Events, and Applications to Combination of Evidence.

Abstract

A long unrecognized problem in probability and statistics has been the inability to treat inference statements - such as if b then a or a given b - so that logical combinations of them can be evaluated, compatible with conditional probability. Thus, in the situation where no conditioning occurs - or everything is conditioned on a common antecedent - statements such as if b then a or if b then c can be readily addressed with the typical evaluation: p(a v c / b) = p sub b (a v c) = p sub b (a) + p sub b (c) - p sub b (a.c), etc., for any probability measure p over the space of events.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1991
Accession Number
ADA240258

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  • I. R. Goodman

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  • Boolean Algebra
  • California
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  • Intervals
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  • Uncertainty
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