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Application of dirichlet integrals for curtailment problems in sampling inspection

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  • Milton Sobel
  • M. Ebneshahrashoob
  • J. Y. Lin

Abstract

The standard problem in sampling inspection is to consider plans with and without curtailment. Curtailment causes difficulty and authors rarely give exact results (i.e., exact OC and ASN functions) for curtailed procedures. In this article we regard curtailment as an inverse sampling procedure and use Dirichlet integrals to obtain exact formulas for the OC, the ASN, and also the variance of the number of observations required under three types of plans: no curtailment, semicurtailment (for rejection only) and two‐sided curtailment. Different sections of the article deal with the single sample, the two‐stage, and the multiple‐stage sampling problems. New tables for carrying out the single‐sample procedure are included in the article. The authors feel that this article presents new directions and new ways of dealing with problems associated with quality control.

Suggested Citation

  • Milton Sobel & M. Ebneshahrashoob & J. Y. Lin, 1989. "Application of dirichlet integrals for curtailment problems in sampling inspection," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(2), pages 215-238, April.
    • Handle: RePEc:wly:navres:v:36:y:1989:i:2:p:215-238
    DOI: 10.1002/1520-6750(198904)36:23.0.CO;2-S
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    Cited by:

    1. Aaron Childs, 2010. "Vector Extensions of the Dirichlet HC and HD Functions, with Applications to the Sharing Problem," Methodology and Computing in Applied Probability, Springer, vol. 12(1), pages 91-109, March.

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