On the definition of objective probabilities by empirical similarity

Synthese 172 (1):79 - 95 (2010)
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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DOI 10.2307/40496025
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