Open Conference Systems, 50th Scientific meeting of the Italian Statistical Society

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A predictive measure of the additional loss of a non-optimal action under multiple priors
Fulvio De Santis, Stefania Gubbiotti

Last modified: 2018-05-18

Abstract


In Bayesian decision theory, the performance of an action is measured by its posterior expected loss. In some cases it may be convenient/necessary to use a non-optimal decision instead of the optimal one. In these cases it is important to quantify the additional loss we incur and evaluate whether to use the non-optimal decision or not. In this article we study the predictive probability distribution of a relative measure of the additional loss and its use to define sample size determination criteria in one-sided testing.


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