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Statistical Methods for Fuzzy Data by Reinhard Viertl

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21.3 Probabilities of Hypotheses

Another way of using a posteriori distributions is for the calculation of a posteriori probabilities of statistical hypotheses

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The a posteriori probability of the hypothesis 0 is the probability of Θ0 based on the a posteriori density π(·|(x1, y1),…,(xn, yn)), i.e.

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Depending on the value of Pr0|(x1, y1),…,(xn, yn)) the hypothesis 0 is accepted or rejected.

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