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Designing Single Sampling Plans by Variables Using Predictive Distribution

Author

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  • Loganathan A.

    (Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli 627 012, India.)

  • Vijayaraghavan R.

    (Department of Statistics, Bharathiar University, Coimbatore 641 046, India.)

  • Rajagopal K.

    (Department of Mathematics, Sri Vasavi College, Erode 638 316, India.)

Abstract

Sampling plans by variables represent a well-known tool of acceptance sampling and often it is said that their sampling efficiency/economy is better than that of sampling plans by attributes. However, a comparison of the two types of sampling plans is questionable, because the underlying aims are different. The decision criterion in the case of sampling plans by variables is the quality of the production process, while the decision criterion of sampling plans by attributes is based on lot quality. Using sampling plans by variables is tantamount to consider the parameters of the process distribution as random variables. Based on the history of the production process, suitable prior distributions may be selected to the process parameters. In this paper, using the normal approximation for the process distribution, single sampling plans by variables are derived assuming conjugate priors for the process parameters. The performance of these plans is compared with conventional single sampling plans by variables and single sampling plans by attributes.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:25:y:2010:i:2:p:301-316:n:12
    DOI: 10.1515/eqc.2010.021
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    References listed on IDEAS

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    1. William C. Guenther, 1972. "Variables sampling plans for the Poisson and the binomial," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 26(4), pages 113-120, December.
    2. Rajagopal K. & Loganathan A. & Vijayaraghavan R., 2009. "Selection of Bayesian Single Sampling Attributes Plans Based on Polya Distribution," Stochastics and Quality Control, De Gruyter, vol. 24(2), pages 179-193, January.
    3. 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.
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    Cited by:

    1. 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.
    2. Muhammad Aslam & P. Jeyadurga & Saminathan Balamurali & Ali Hussein AL-Marshadi, 2019. "Time-Truncated Group Plan under a Weibull Distribution based on Neutrosophic Statistics," Mathematics, MDPI, vol. 7(10), pages 1-11, September.

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