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Articles

A new cumulative sum control chart for monitoring the process mean using varied L ranked set sampling

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Pages 74-90 | Received 16 Mar 2017, Accepted 20 Nov 2017, Published online: 08 Jan 2018

References

  • Oakland JS. Statistical process control. 6th ed. Oxford: Routledge; 2007.
  • Montgomery DC. Introduction to statistical quality control. New York (NY): Wiley; 2007.
  • Hawkins DM, Olwell DH. Cumulative sum charts and charting for quality improvement. New York (NY): Springer Science & Business Media; 2012.
  • Qiu P. Introduction to statistical process control. New York (NY): CRC Press; 2013.
  • Page ES. Continuous inspection schemes. Biometrika. 1954;41(1–2):100–115.
  • Roberts WS. Control chart tests based on geometric moving averages. Technometrics. 1959;1(3):239–250.
  • Lucas JM, Crosier RB. Fast initial response for CUSUM quality-control schemes: give your CUSUM a head start. Technometrics. 1982;24(3):199–205.
  • Lucas JM. Combined Shewhart-CUSUM quality control schemes. J Qual Technol. 1982;14(2):51–59.
  • Knoth S. Fast initial response features for EWMA control charts. Stat Papers. 2005;46(1):47–64.
  • Lucas JM, Saccucci MS. Exponentially weighted moving average control schemes: properties and enhancements. Technometrics. 1990;32(1):1–12.
  • Chiu WC. Generally weighted moving average control charts with fast initial response features. J Appl Stat. 2009;36(3):255–275.
  • Abbas N, Riaz M, Does RJMM. Mixed exponentially weighted moving average cumulative sum charts for process monitoring. Qual Reliab Eng Int. 2013;29(3):345–356.
  • Haq A. A new hybrid exponentially weighted moving average control chart for monitoring process mean. Qual Reliab Eng Int. 2013;29(7):1015–1025.
  • Haq A, Brown J, Moltchanova E. Improved fast initial response features for exponentially weighted moving average and cumulative sum control charts. Qual Reliab Eng Int. 2014;30(5):697–710.
  • McIntyre GA. A method for unbiased selective sampling, using ranked sets. Crop Pasture Sci. 1952;3(4):385–390.
  • Dell TR, Clutter JL. Ranked set sampling theory with order statistics background. Int Biom Soc. 1972;28(2):545–555.
  • Stokes SL. Ranked set sampling with concomitant variables. Commun Stat Theory Methods. 1977;6(12):1207–1211.
  • Samawi HM, Ahmed MS, Abu-Dayyeh W. Estimating the population mean using extreme ranked set sampling. Biom J. 1996;38(5):577–586.
  • Muttlak HA. Median ranked set sampling. J Appl Stat Sci. 1997;6(4):245–255.
  • Muttlak HA. Investigating the use of quartile ranked set samples for estimating the population mean. Appl Math Comput. 2003;146(2–3):437–443.
  • Al-Nasser AD. L ranked set sampling: A generalization procedure for robust visual sampling. Commun Stat -- Simul Comput. 2007;36(1):33–43.
  • Haq A, Brown J, Moltchanova E, et al. Varied L ranked set sampling scheme. J Stat Theory Pract. 2015;9(4):741–767.
  • Salazar RD, Sinha AK. Control chart x-bar based on ranked set sampling. Comun Tecica. 1997;1:1–97.
  • Muttlak HA, Al-Sabah W. Statistical quality control based on ranked set sampling. J Appl Stat. 2003;30(9):1055–1078.
  • Abujiya MR, Muttlak H. Quality control chart for the mean using double ranked set sampling. J Appl Stat. 2004;31(10):1185-1201.
  • Al-Omari AI, Haq A. Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods. J Appl Stat. 2012;39(4):745–763.
  • Al-Sabah WS. Cumulative sum statistical control charts using ranked set sampling data. Pak J Stat. 2010;26(2):365–378.
  • Abujiya MR, Lee MH. The three statistical control charts using ranked set sampling. 5th Int Conf Model Simul Appl Opt (ICMSAO). 2013;1–6.
  • Abujiya MR, Riaz M, Lee MH. Improving the performance of combined Shewhart-cumulative sum control charts. Qual Reliab Eng Int. 2013;29(8):1193–1206.
  • Abujiya MR, Riaz M, Lee MH. Enhancing the performance of combined Shewhart-EWMA charts. Qual Reliab Eng Int. 2013;29(8):1093–1106.
  • Abujiya MR, Lee MH, Riaz M. Improving the performance of exponentially weighted moving average control charts. Qual Reliab Eng Int. 2014;30(4):571–590.
  • Mehmood R, Riaz M, Does RJJM. Quality quandaries: on the application of different ranked set sampling schemes. Qual Eng. 2014;26(3):370–378.
  • Mehmood R, Riaz M, Does RJMM. Quality quandaries: on the application of different ranked set sampling schemes. Qual Eng. 2014;26(3):370–378.
  • David HA, Nagaraja HN. Order statistics. 3rd ed. Hoboken (NJ): Wiley; 2003.

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