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Avoiding foregone conclusions : geometric and foundational analysis of paradoxes of finite additivity.

Goldstein, M. (2001) 'Avoiding foregone conclusions : geometric and foundational analysis of paradoxes of finite additivity.', Journal of statistical planning and inference., 94 (1). pp. 73-87.

Abstract

We consider an example in which the use of finitely additive probabilities leads to the seemingly paradoxical conclusion that we may reason to a foregone conclusion. We give an informal treatment of this paradox. We then develop a geometric approach which formalises this treatment, and offers a foundational resolution of the problem. We discuss this approach both in the context of assessing the value of such paradoxical data and also when used for finite approximation.

Item Type:Article
Keywords:Finite additivity, Geometric conditioning, Temporal coherence, Value of information.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1016/S0378-3758(00)00229-9
Record Created:25 Mar 2008
Last Modified:24 Mar 2010 16:59

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