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Repeated screening with inspection error and no false positive results with application to pharmaceutical pill production

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Repeated screening is a 100% sampling inspection of a batch of items followed by removal of the defective items and further iterations of inspection and removal. The reason for repeating the inspection is that the detection of a defective item happens with probability p<1. A missed defective item is a false negative result. The no false positive result is contemplated in this paper, which is motivated by a problem coming from the production of pharmaceutical pills. Bayesian posterior distributions for the quality of the lot are obtained for the case of both p known and p unknown. Batch rejection and batch acceptance control limits for the number of defective items at subsequent iterations can then be calculated. Theoretical connections to the problem of estimating the number-of-trials parameter of a binomial distribution are drawn.

Keywords: Acceptance sampling; Bayesian methods; False negative results; Inspection error; Length bias; Negative binomial distribution; Sensitivity

Document Type: Research Article


Affiliations: 1: Politecnico di Torino, Italy. 2: Schering, Berlin, Germany. 3: Novartis Pharma, Basel, Switzerland.

Publication date: January 1, 2004


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