IDEAS home Printed from https://ideas.repec.org/a/bpj/ecqcon/v25y2010i2p207-220n6.html
   My bibliography  Save this article

Selection of Bayesian Double Sampling Inspection Plans by Attributes with Small Acceptance Numbers

Author

Listed:
  • Vijayaraghavan R.
  • Sakthivel K. M.

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

Abstract

Sampling inspection is a product control technique and consists of rules or procedures for taking decisions on the disposition of lots of finished products based on the inspection of individual units in one or more random samples drawn from the lots. The basic assumption underlying the theory of such procedures by attributes is that the lot or process fraction nonconforming is a constant. Evidently, this assumption is not fulfilled, even if the production process is stable, i.e., if the nonconforming probability is a constant. However, in practice, the lots formed from a process will have different fractions nonconforming, which occur due to random fluctuations. In such cases, Bayesian acceptance sampling plans (BASP), which use prior information on the process variation for taking decisions about the submitted lots, can be employed as alternative to conventional plans. This paper presents a double sampling inspection plan by attributes with small acceptance numbers using the Bayesian methodology. The properties of its characteristic curves with reference to various parameters are highlighted. The design problem of selecting such sampling plans with reference to two prescribed points on the operating characteristic curve under the condition of gamma-Poisson distribution is addressed.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:25:y:2010:i:2:p:207-220:n:6
    DOI: 10.1515/eqc.2010.015
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/eqc.2010.015
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.
    File URL: https://libkey.io/10.1515/eqc.2010.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    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. 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.
    5. 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 1-11, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:ecqcon:v:25:y:2010:i:2:p:207-220:n:6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.