Seidenfeld, Teddy (2000) Remarks on the theory of conditional probability: some issues of finite versus countable additivity. UNSPECIFIED. (In Press)
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Abstract
This paper (based on joint work with M.J.Schervish and J.B.Kadane) discusses some differences between the received theory of regular conditional distributions, which is the countably additive theory of conditional probability, and a rival theory of conditional probability using the theory of finitely additive probability. The focus of the paper is maximally "improper" conditional probability distributions, where the received theory requires, in effect, that P{a: P(a|a) = 0} = 1. This work builds upon the results of Blackwell and Dubins (1975).
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| Item Type: | Other | ||||||
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| Keywords: | improper regular conditional distributions, conditional probability, finitely additive conditional probability. | ||||||
| Subjects: | General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics |
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| Depositing User: | Teddy Seidenfeld | ||||||
| Date Deposited: | 01 Feb 2001 | ||||||
| Last Modified: | 07 Oct 2010 15:09 | ||||||
| Item ID: | 92 | ||||||
| Public Domain: | No | ||||||
| Subjects: | General Issues > Confirmation/Induction Specific Sciences > Probability/Statistics |
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| Date: | 2000 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/92 |
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