Updating Probabilities
classification
⚛️ physics.data-an
cond-mat.stat-mechcs.ITmath.IT
keywords
updatingentropymethodprobabilitiesrelativebayescasecompatible
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We show that Skilling's method of induction leads to a unique general theory of inductive inference, the method of Maximum relative Entropy (ME). The main tool for updating probabilities is the logarithmic relative entropy; other entropies such as those of Renyi or Tsallis are ruled out. We also show that Bayes updating is a special case of ME updating and thus, that the two are completely compatible.
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