Technometrics · 1960 · 171 citations · 8 references
Natural SciencesMathematicsBayesian Data AnalysisProbability TheoryStatisticsInferential StatisticsInspectionSampling DesignSampling MethodsSampling TheoryHypergeometric DistributionInspection Sampling PlansPrior Distribution SpecificationSampling InspectionSingle Sampling Plans
The paper’s main results were presented in 1959–1960 lectures and seminars at the University of London and Imperial College. The study proposes a model based on prior distributions and costs to derive optimum sampling plans that minimize average costs for any prior distribution. The authors review attribute sampling inspection plans, focusing on their assumptions, and introduce a model that uses prior distributions and costs to compute optimal plans. The paper presents tables and examples illustrating the derived optimal sampling plans.
The main results of this paper, apart from the limit theorems, were given in two lectures at the University of London, and in a seminar at Imperial College of Science and Technology, London, January 1959. The complete paper was presented for discussion in a meeting at Imperial College in February 1960. The paper reviews present sampling inspection plans for attributes placing particular emphasis on their underlying assumptions. A model is then proposed based upon prior distributions and costs, and optimum sampling plans are derived which minimize the average costs for any prior distribution. Tables and examples are provided.
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Harry M. Rosenblatt, H. F. Dodge, Harry G. Romig · Mathematics of Computation · 1960 · 180 citations