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Frontiers in Statistical Quality Control 4 pp 100–108Cite as

Design of Economic Sampling Plan Based on Empirical Bayesian Approach

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Part of the book series: Frontiers in Statistical Quality Control 4 ((FSQC,volume 4))

Abstract

It is necessary to estimate the percent nonconforming units in accepted lots for designing an economic sampling plan. Hahn(1986) solves the problem of estimating the number of nonconforming units in lots that pass zero-defect sampling inspection. He shows that the average number of nonconforming units in these lots can be estimated from the number of accepted lots and the number of lots rejected with a single nonconforming unit.

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References

  1. Cassella, G. (1985): “An Introduction to Empirical Bayes Data Analysis”, The American Statistician, Vol. 39, No. 2, pp. 83–87.

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  2. Hahn, G. J. (1986): “Estimating the Percent Nonconforming in the Accepted Product After Zero Defect Sampling”, Journal of Quality Technology, Vol. 18, No. 3, pp. 182–188.

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  3. Martz, H. F. (1975): “Empirical Bayes Single Sampling Plans for Specified Posterior Consumer and Producer Risks”, Naval Research Logistics Quarterly, Vol. 22, No. 4, pp. 661–666.

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  4. Robbins, H. (1955): “An Empirical Bayes Approach to Statistics”, Proceedings of Third Berkeley Symposium on Mathematical Statistics and Probability 1, Berkeley; University of California Press, pp. 157–164.

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  5. Zaslaysky, A. (1988): “Estimating Nonconformity Rates in c -Defect Sampling”, Journal of Quality Technology, Vol. 20, No. 4, pp. 248–259.

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Author information

Authors and Affiliations

  1. Osaka, Japan

    H. Ohta & S. Ogawa

Authors
  1. H. Ohta
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  2. S. Ogawa
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Editor information

Editors and Affiliations

  1. Institut für Statistik und Ökonometrie, Freie Universität Berlin, Garystraße 21, W-1000, Berlin 33, Germany

    Hans-Joachim Lenz

  2. Industrial Statistics Research Unit, The University of Newcastle upon Tyne, NE1 7RU, GB-Newcastle upon Tyne, England

    G. Barry Wetherill

  3. Institut für Statistik und Ökonometrie, Freie Universität Berlin, Garystraße 21, W-1000, Berlin 33, Germany

    Peter-Theodor Wilrich

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© 1992 Springer-Verlag Berlin Heidelberg

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Ohta, H., Ogawa, S. (1992). Design of Economic Sampling Plan Based on Empirical Bayesian Approach. In: Lenz, HJ., Wetherill, G.B., Wilrich, PT. (eds) Frontiers in Statistical Quality Control 4. Frontiers in Statistical Quality Control 4, vol 4. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-11789-7_7

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  • DOI: https://doi.org/10.1007/978-3-662-11789-7_7

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0642-7

  • Online ISBN: 978-3-662-11789-7

  • eBook Packages: Springer Book Archive

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