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Bayesian probability
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===Decision theory approach=== A [[statistical decision theory|decision-theoretic]] justification of the use of Bayesian inference (and hence of Bayesian probabilities) was given by [[Abraham Wald]], who proved that every [[admissible decision rule|admissible]] statistical procedure is either a Bayesian procedure or a limit of Bayesian procedures.<ref>{{cite book |author=Wald, Abraham |title=Statistical Decision Functions |publisher=Wiley |year=1950}}</ref> Conversely, every Bayesian procedure is [[admissible decision rule|admissible]].<ref>{{cite book |author1=Bernardo, JosΓ© M. |author2=Smith, Adrian F.M. |title=Bayesian Theory |publisher=John Wiley |year=1994 |isbn=0-471-92416-4}}</ref>
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