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This article presents a new interpretation of the structure of subjective Bayesian probability spaces. Rather than assuming the linear space of classical statistical theory, it is proposed that Bayes' theorem demands a curved, non-linear probability space. This finding challenges over 250 years of accepted assumptions about Bayes Theorem and necess...
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Context 1
... primary consequence of applying this isomorphic approach to Bayes' theorem is that, due to the sqaure-root terms in c i , any p-space must be nonlinear. This nonlinearity can be seen by plotting the difference between Figure 1 and its isomorphic Bayesian equivalent for the 0.5:0.5 contingency table (6) ...
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