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Communications in Statistics - Theory and Methods Volume 49, 2020 - Issue 4
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Original Articles

Statistical process control (SPC) for short production run with Cauchy distribution, a case study with corrected numbers approach

Hassan NaseriIndustrial Engineering group, Engineering Faculty, Science and Research Branch, Islamic Azad University, Tehran, IranORCID Iconhttp://orcid.org/0000-0002-6431-9120
ORCID Icon,
S. Esmaeil NajafiIndustrial Engineering group, Engineering Faculty, Science and Research Branch, Islamic Azad University, Tehran, IranCorrespondence[email protected]
&
Abbas SaghaeiIndustrial Engineering group, Engineering Faculty, Science and Research Branch, Islamic Azad University, Tehran, Iran
Pages 879-893 | Received 10 Apr 2018, Accepted 12 Nov 2018, Published online: 31 Dec 2018

References

  • Chakraborti, S. 2007. Run length, average run length and false alarm rate of shewhart X-Bar chart: Exact derivations by conditioning. Communications in Statistics - Simulation and Computation 29:37–41. doi: 10.1080/03610910008813602.
  • Chakraborti, S., P. Van Der Laan, and S. T. Bakir. 2001. None parametric control charts: an overview and some results. Journal of Quality Technology 3 (33):304–15. doi: 10.1080/00224065.2001.11980081.
  • Duncan, A. 1975. Quality control and industrial statistics. Burr Ridge, IL: Richard D. Irwin Inc.
  • Feller, J. 1966. An introduction to probability theory and its applications. 2nd ed. New York: Wiley.
  • Ferrell, E. B. 1953. Control charts using midranges and medians. Industrial Quality Control 9 :30–4.
  • Goel, A. L., and S. M. Wu. 1971. Determination of A.R.L. and a contour nomogram for cusum charts to control normal mean. Technometrics 13 :221–30. doi: 10.1080/00401706.1971.10488778.
  • Hawkins, D. M., and D. H. Olwell. 1998. Cumulative sum charts and charting for quality improvement. New York: Springer Verlag.
  • Hill, B. 1975. A simple general approach to inference about the tail of a distribution. The Annals of Statistics 3 (5):1163–74. doi: 10.1214/aos/1176343247.
  • Langenberg, P., and B. Iglewicz. 1986. Trimmed mean X and R charts. Journal of Quality Technology 18(3):152–61. doi: 10.1080/00224065.1986.11979003.
  • Maragah, H. D., and H. W. Woodall. 1992. The effect of autocorrelation on the retrospective X-charts. Statistical Computing Simulation 40 (1–2):29–42. doi: 10.1080/00949659208811363.
  • Montgomery, D. 2009. Introduction to statistical quality control. Hoboken, NJ: John Wiley & Sons Inc. doi: 10.1002/1521-3773(20010316)40:6<9823::AID-ANIE9823>3.3.CO;2-C.
  • Nolan, J. P. 2016. Stable distributions, models for heavy tailed data. Washington, D.C.: American University.
  • Page, E. S. 1954. Continuous inspection schemes. Biometrics 41 (1–2):100–15. doi: 10.2307/2333009.
  • Roberts, S. W. 1959. Control charts test based on geometric moving averages. Technometrics 1 (3):239–50. doi: 10.1080/00401706.1959.10489860.
  • Rocke, D. M. 1989. Robust control charts. Technometrics 31 (2):173–84. doi: 10.1080/00401706.1989.10488511.
  • Thaga, K. 2008. Control chart for autocorrelated processes with heavy tailed distributions. Economic Quality Control 23 (2):197–206. doi: 10.1515/EQC.2008.197.
  • van Dobben de Bruyn, C. S. 1968. Cumulative sum tests: Theory and practice, griffin’s statistical monographs & courses. New York: Hafner, no. 24.
  • Wadsworth, H. M., K. S. Stephens, and A. B. Godfrey. 1986. Modern methods for quality control and improvement. New York: John Wiley & Sons, Inc.
  • White, E. M., and R. Schroeder. 1987. A simultaneous control chart. Journal of Quality Technology 19 (1):1–10. doi: 10.1080/00224065.1987.11979028.
  • Zolotarev, V. M. 1986. One-dimensional stable distributions. Providence, RI: Amer. Math.Soc.

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