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A procedure for selection of a gamma-Poisson single sampling plan by attributes

Author

Listed:
  • R. Vijayaraghavan
  • K. Rajagopal
  • A. Loganathan

Abstract

Design and evaluation of sampling plans by attributes and by variables are important aspects in the area of acceptance sampling research. Various procedures for the selection of conventional single sampling by attributes have been developed and are available in the literature. This paper presents a design methodology and tables for the selection of parameters of single sampling plans for specified requirements (strengths) under the conditions of a gamma prior and Poisson sampling distribution. The relative efficiency of gamma-Poisson single sampling plans over conventional plans is discussed through empirical illustrations.

Suggested Citation

  • R. Vijayaraghavan & K. Rajagopal & A. Loganathan, 2008. "A procedure for selection of a gamma-Poisson single sampling plan by attributes," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(2), pages 149-160.
    • Handle: RePEc:taf:japsta:v:35:y:2008:i:2:p:149-160
    DOI: 10.1080/02664760701775654
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    Citations

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    Cited by:

    1. Vijayaraghavan R. & Sakthivel K. M., 2010. "Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 207-220, January.
    2. Li Zhang & Ying-Ying Zhang, 2022. "The Bayesian Posterior and Marginal Densities of the Hierarchical Gamma–Gamma, Gamma–Inverse Gamma, Inverse Gamma–Gamma, and Inverse Gamma–Inverse Gamma Models with Conjugate Priors," Mathematics, MDPI, vol. 10(21), pages 1-27, October.
    3. Pérez-González, Carlos J. & Fernández, Arturo J. & Kohansal, Akram, 2020. "Efficient truncated repetitive lot inspection using Poisson defect counts and prior information," European Journal of Operational Research, Elsevier, vol. 287(3), pages 964-974.
    4. Vijayaraghavan Rajarathinam & Loganathan Appaia & Rajagopal Krishnamoorthy, 2013. "Selection of Bayesian Single Sampling Plans by Attributes with Desired Discrimination," Stochastics and Quality Control, De Gruyter, vol. 28(2), pages 167-177, December.
    5. Loganathan A. & Vijayaraghavan R. & Rajagopal K., 2010. "Designing Single Sampling Plans by Variables Using Predictive Distribution," Stochastics and Quality Control, De Gruyter, vol. 25(2), pages 301-316, January.
    6. Vijayaraghavan R. & Sakthivel K. M., 2011. "Chain Sampling Inspection Plans Based on Bayesian Methodology," Stochastics and Quality Control, De Gruyter, vol. 26(2), pages 173-187, January.

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