Search results for "Predictivevalue"

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Reassessing Accuracy Rates of Median Decisions

2007

We show how Bruno de Finetti''s fundamental theorem of prevision has computable applications in statistical problems that involve only partial information. Specifically, we assess accuracy rates for median decision procedures used in the radiological diagnosis of asbestosis. Conditional exchangeability of individual radiologists'' diagnoses is recognized as more appropriate than independence which is commonly presumed. The FTP yields coherent bounds on probabilities of interest when available information is insufficient to determine a complete distribution. Further assertions that are natural to the problem motivate a partial ordering of conditional probabilities, extending the computation …

Statistics and ProbabilityFOS: Computer and information sciencesFundamental theorem of previsionComputer scienceGeneral MathematicsComputationSpecificity.Quadratic programmingStatistics - ApplicationsMedical diagnosiSensitivityLinear programmingProbability boundApplications (stat.AP)Second opinionQuadratic programmingMedical diagnosisIndependence (probability theory)Fundamental theoremAsbestosiConditional probabilityDistribution (mathematics)ExchangeabilityPredictivevalueStatistics Probability and UncertaintyPartially ordered setCoherenceMathematical economics
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