Advertisement

Zeitschrift für Operations Research

, Volume 26, Issue 1, pp B47–B54 | Cite as

A parabolic mask for continuous sampling inspection

  • P. Bauer
  • P. Hackl
Papers Serie B: Praxis

Summary

The control chart techniques usually applied for continuous inspection are surveyed. A new technique using a parabolic mask is investigated which, in terms of the average run length is superior to other techniques in the case of small trends. Monte Carlo estimates of the average run length are given.

Keywords

Control Chart Continuous Sampling Monte Carlo Estimate Carlo Estimate Small Trend 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zusammenfassung

Ein neues Verfahren in der statistischen Qualitätskontrolle (die Verwendung einer parabolischen Maske) wird diskutiert, mit bekannten Kontrollkarten- und Maskentechniken verglichen sowie die mittlere Dauer bis zu einer Warnmeldung mittels Monte Carlo Methoden bestimmt.

References

  1. Barnard, G.A.: Control charts and stochastic processes. J. Roy. Statist. Soc. B21, 1959, 239–271.Google Scholar
  2. Bauer, P., andP. Hackl: The use of MOSUMs for quality control. Technometrics20 (4), 1978, 431–436.Google Scholar
  3. —: An extension of the MOSUM technique for quality control. Technometrics22 (1), 1980, 1–7.Google Scholar
  4. Bissell, A.F.: A semi-parabolic mask for cusum charts. The Statistician28, 1979, 1–7.Google Scholar
  5. Brook, D., andD.A. Evans: An approach to the probability distribution of cusum run length. Biometrika59, 1972, 539–549.Google Scholar
  6. Brown, R.L., J. Durbin andJ.M. Evans: Techniques for testing the constancy of regression relationships over time. J. Roy. Statist. Soc., B37, 1975, 149–192.Google Scholar
  7. Van Dobben de Bruyn, D.S.: Cumulative Sum Tests: Theory and Practice. London 1968.Google Scholar
  8. Lai, T.L.: Control charts based on weighted sums. Ann. Statist.2, 1974, 134–147.Google Scholar
  9. Lucas, J.M.: A modified‘V’ mask control scheme. Technometrics15, 1973, 833–847.Google Scholar
  10. Page, E.S.: Continuous inspection schemes. Biometrika41, 1954, 100–115.Google Scholar
  11. Roberts, S. W.: Control chart tests based on geometric moving averages. Technometrics1, 1959, 239–250.Google Scholar
  12. —: A comparison of some control chart procedures. Technometrics8, 1966, 411–430.Google Scholar
  13. Robinson, P.B., andT. Y. Ho: Average run lengths of geometric moving average charts by numerical methods. Technometrics20, 1978, 85–93.Google Scholar
  14. Shewhart, W.A.: Economic Control of Quality of Manufactured Product. New York 1931.Google Scholar
  15. Siegmund, D.: Repeated significance tests for a normal mean. Biometrica64, 1977, 177–189.Google Scholar

Copyright information

© Physica-Verlag 1982

Authors and Affiliations

  • P. Bauer
    • 1
  • P. Hackl
    • 2
  1. 1.Institute of Medical Statistics and DocumentationUniversity of ViennaWien
  2. 2.Institute of StatisticsUniversity of EconomicsWien

Personalised recommendations