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Probability space for P (H|D 1 ∩ D 2 ) of the 0.5:0.5 likelihood Bayesian contingency table (6)

Probability space for P (H|D 1 ∩ D 2 ) of the 0.5:0.5 likelihood Bayesian contingency table (6)

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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...

Contexts in source publication

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) ...
Context 2
... assumption of a "flat" distribution, where every outcome is equally likely, means that the p-space of (6) forms a multi-linear curved surface ( Figure 1). ...

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