Abstract
Conditions are given which suffice for the assessment of a coherent inference by means of a Bayesian algorithm, i.e., a suitable extension of the classical Bayes theorem relative to a finite number of alternatives. Under some further hypotheses such inference is shown to be, in addition, coherent in the sense of Heath, Lane and Sudderth. Moreover, a characterization of coherent posteriors is provided, together with some remarks concerning finitely additive conditional probabilities.
Citation
Patrizia Berti. Eugenio Regazzini. Pietro Rigo. "Coherent Statistical Inference and Bayes Theorem." Ann. Statist. 19 (1) 366 - 381, March, 1991. https://doi.org/10.1214/aos/1176347988
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