Accuracy of approximate progressively censored reliability sampling plans for exponential models |
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Authors: | Carlos J Pérez-González Arturo J Fernández |
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Institution: | (1) Departamento de Estadística e Investigación Operativa, Universidad de La Laguna, 38271 Tenerife, Spain |
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Abstract: | Reliability sampling plans provide an efficient method to determine the acceptability of a product based upon the lifelengths
of some test units. Usually, they depend on the producer and consumer’s quality requirements and do not admit closed form
solutions. Acceptance sampling plans for one- and two-parameter exponential lifetime models, derived by approximating the
operating characteristic curve, are presented in this paper. The accuracy of these approximate plans, which are explicitly
expressible and valid for failure and progressive censoring, is assessed. The approximation proposed in the one-parameter
case is found to be practically exact. Explicit lower and upper bounds on the smallest sample size are given in the two-parameter
case. Some additional advantages are also pointed out. |
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Keywords: | Acceptance sampling plans Acceptable and rejectable quality levels Progressive type II censoring Operating characteristic curve |
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