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Published online by Cambridge University Press: 19 June 2023
There is one sense in which Bayes’ theorem, and its use in statistics and in scientific inference, is clearly uncontroversial. It is an authentic, certified, theorem of the probability calculus, and even the founders of classical statistical inference, Fisher, Neyman and Pearson, were explicit about seeing no difficulty in the use of Bayes’ theorem when the conditions for its application were satisfied. For example, Fisher writes, “When there really is exact knowledge a priori Bayes’ method is available” (1971, p. 194).
Acknowledgment for support of research is due to the National Science Foundation.