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.
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.
|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|
|Date accepted:||No date available|
|Date deposited:||No date available|
|Date of first online publication:||01 January 1970|
|Date first made open access:||No date available|
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