This paper aims to find a suitable decision rule for a binary composite hypothesis-testing problem with a partial or coarse prior distribution. To alleviate the negative impact of the information uncertainty, a constraint is considered that the maximum conditional risk cannot be greater than a predefined value. Therefore, the objective of this paper becomes to find the optimal decision rule to ...

Background: Various risk stratification systems have been developed in coronary artery bypass graft surgery (CABG), based mainly on patients undergoing procedures with cardiopulmonary bypass. Objective: To assess the validity and applicability of the Parsonnet score, the EuroSCORE, the American College of Cardiology/American Heart Association (ACC/AHA) system, and the UK CABG Bayes model in pat...

ERRATA delete optimal Section accommodate R(t,k) vi ci nity change b-a to a-b Bayes risk It easily follows (by induction) from (9) and (21) ...

For functions of sums of conditionally independent random variables an asymptotic expansion of their expectations is presented. As an example, the expansion of a Bayes risk is given.

We propose an approach to post-election auditing based on Bayesian principles, and give experimental evidence for its efficiency and effectiveness. We call such an audit a “Bayes audit”. It aims to control the probability of miscertification (certifying a wrong election outcome). The miscertification probability is computed using a Bayesian model based on information gathered by the audit so fa...

Nearest neighbor rules are popular classiiers, partly due to their good asymptotic properties. Improving the performance of NN rules when only nite samples are available has been studied over the last two decades. For example, smart distance measures which are data dependent have been proposed. From a theoretical point of view, one is interested in deriving the optimal NN distance measure. Exis...