Skip to main content
SpringerLink
Log in

ASN-minimax double sampling plans for variables

  • Article
  • Published:
Statistical Papers Aims and scope Submit manuscript

Abstract

Let X be a continuous quality characteristic, with one-sided lower specification limit, having either normal distribution with known σ or exponential distribution. We report on an algorithm allowing the calculation of the so-called ASN-Minimax plan. This plan has minimal maximal average sample size among all double sampling plans for variables that obey the classical two-points-condition on the operating characteristic. We give examples and tables of the ASN-Minimax plans in the normal as well as in the exponential case.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bowker, A.H./Goode H.P. (1952): Sampling Inspection by Variables. McGraw-Hill, New York.

    MATH  Google Scholar 

  • Bruhn-Suhr, M./Krumbholz, W. (1990): A new Variables Sampling Plan for Normally Distributed Lots with Unknown Standard Deviation and Double Specification Limits. Statistical Papers 31, 195–207.

    Article  MATH  MathSciNet  Google Scholar 

  • Bruhn-Suhr, M./Krumbholz, W. (1991): Exact Two-sided Lieberman-Resnikoff Sampling Plans. Statistical Papers 32, 233–241.

    Article  MathSciNet  Google Scholar 

  • Feldmann, B. (1999): Zweifache und sequentielle Minimax-ASN-Variablen-prüfpläne mit exponential- und normalverteiltem Merkmal. Thesis, Universitat der Bundeswehr Hamburg.

  • Guenther, W.C. (1977): Sampling Inspection in Statistical Quality Control. Griffin’s Statistical Monographs and Courses No. 37. Griffin and Co. Ltd.

  • Krumbholz, W./Lassahn, R./Sevcikova, H. (1999a): Double Sampling Plans for Attributes that minimize the ASN maximum. Allgemeines Statisti-sches Archiv 83, 211–223.

    Google Scholar 

  • Krumbholz, W./Lassahn, R./Sevcikova, H. (1999b): Zweifache attributive ASN-Flachen-Priifplane. In: Mathematische Methoden der Wirtschaftswis-senschaften (Eds. Gaul, W./Schader, M.) Physica, Heidelberg.

    Google Scholar 

  • Krumbholz, W./Muller, K. (1997): Zweifache Attributprufplane mit minimaler maximaler ASN. Discussion Papers in Statistics and Quantitative Economics 78, Universitat der Bundeswehr Hamburg.

  • Mijller, K. (1998): Zweifache Stichprobenplane fur qualitative und quantitative Merkmale mit minimaler maximaler ASN. Thesis, Universitat der Bundeswehr Hamburg.

  • Sommers, D.J. (1981): Two Point Double Variables Sampling Plans. Journal of Quality Technology 13, 25–30.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Universität der Bundeswehr Hamburg, Postfach 700 822, 22008, Hamburg, Germany

    Benno Feldmann & Wolf Krumbholz

Authors
  1. Benno Feldmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wolf Krumbholz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Feldmann, B., Krumbholz, W. ASN-minimax double sampling plans for variables. Statistical Papers 43, 361–377 (2002). https://doi.org/10.1007/s00362-002-0110-2

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00362-002-0110-2

Keywords

Search

Navigation