Adjusted Belief Structures.

Abstract

In the study of the foundations of the subjectivist theory of statistics, we find that each aspect of the theory corresponds to a different application of a single manipulation, namely the adjustment of one belief structure by another belief structure. This article describes the technical machinery of this manipulation to a sufficient level of detail to cover all of the applications of the adjusted belief structure in the foundations of the theory. We also discuss the relationship between the adjustment of belief structures and the conditioning of random variables. (Essentially the latter is a simple special case of the former). Keywords: Coherence, conditional prevision, prevision, projection.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1985
Accession Number
ADA154804

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  • M Goldstein

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  • University of Wisconsin–Madison

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