Communication in Statistics- Theory and Methods · 2002 · 64 citations · 4 references
Bayesian StatisticEngineeringControl ChartsControl ChartUncertainty ModelingBayesian InferenceUncertainty QuantificationSystems EngineeringBayesian MethodsModel Predictive ControlPublic HealthStatisticsBayesian Hierarchical ModelingControl MethodControl StrategyModel-based Control TechniquePredictive AnalyticsParameter UncertaintyBayesian StatisticsProcess ControlStatistical InferenceApproximate Bayesian Computation
ABSTRACT We propose a Bayesian approach to obtaining control charts when there is parameter uncertainty. Our approach consists of two stages, (i) construction of the control chart where we use a predictive distribution based on a Bayesian approach to derive the rejection region, and (ii) evaluation of the control chart where we use a sampling theory approach to examine the performance of the control chart under various hypothetical specifications for the data generation model.
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