McCutcheon, Randall G. (2018) In favor of logarithmic scoring. [Preprint]
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Abstract
Shuford, Albert and Massengill proved, a half century ago, that the logarithmic scoring rule is the only proper measure of inaccuracy determined by a differentiable function of probability assigned the actual cell of a scored partition. In spite of this, the log rule has gained less traction in applied disciplines and among formal epistemologists that one might expect. In this paper we show that the differentiability criterion in the Shuford et. al. result is unnecessary and use the resulting simplified characterization of the logarithmic rule to give novel arguments in favor of it.
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Item Type: | Preprint | ||||||
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Additional Information: | Forthcoming in Philosophy of Science | ||||||
Keywords: | scoring rules, Brier score, epistemic accuracy | ||||||
Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Probability/Statistics |
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Depositing User: | Dr. Randall G. McCutcheon | ||||||
Date Deposited: | 24 May 2018 18:10 | ||||||
Last Modified: | 24 May 2018 18:10 | ||||||
Item ID: | 14700 | ||||||
Subjects: | Specific Sciences > Mathematics > Epistemology Specific Sciences > Probability/Statistics |
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Date: | 22 May 2018 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/14700 |
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