On the definition of objective probabilities by empirical similarity

Synthese 172 (1):79 - 95 (2010)
Abstract
We suggest to define objective probabilities by similarity-weighted empirical frequencies, where more similar cases get a higher weight in the computation of frequencies. This formula is justified intuitively and axiomatically, but raises the question, which similarity function should be used? We propose to estimate the similarity function from the data, and thus obtain objective probabilities. We compare this definition to others, and attempt to delineate the scope of situations in which objective probabilities can be used.
Keywords Objective probability  Similarity  Case-based reasoning  Frequentist approach
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Reprint years 2010
DOI 10.1007/s11229-009-9473-4
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References found in this work BETA
The Foundations of Statistics.Leonard J. Savage - 1954 - Wiley Publications in Statistics.
Causality: Models, Reasoning, and Inference.Judea Pearl - 2000 - Cambridge University Press.
La Prévision: Ses Lois Logiques, Ses Sources Subjectives.Bruno de Finetti - 1937 - Annales de l'Institut Henri Poincaré 17:1-68.

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Mechanistic Probability.Marshall Abrams - 2012 - Synthese 187 (2):343-375.

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