Use of ranked set sampling in nonparametric control charts

References

• Abujiya, M. R., M. H. Lee, and M. Riaz. 2013. “Improving the Performance of the Exponentially Weighted Moving Average Control Charts.” Quality and Reliability Engineering International 30 (4): 571–590. doi: 10.1002/qre.1509.
   Web of Science ®Google Scholar
• Abujiya, M. R., M. H. Lee, and M. Riaz. 2015. “Enhanced Cumulative Sum Charts for Monitoring Process Dispersion.” PLoS ONE 10 (4): 1–22. doi: 10.1371/journal.pone.0124520.
   Web of Science ®Google Scholar
• Abujiya, M. R., and H. Muttlak. 2004. “Quality Control Chart for the Mean Using Double Ranked Set Sampling.” Journal of Applied Statistics 31 (10): 1185–1201. doi: 10.1080/0266476042000285549.
   Web of Science ®Google Scholar
• Al-Omari, A. I., and A. Haq. 2012. “Improved Quality Control Charts for Monitoring the Process Mean Using Double Ranked Set Sampling Methods.” Journal of Applied Statistics 39 (4): 745–763. doi: 10.1080/02664763.2011.611488.
   Web of Science ®Google Scholar
• Altukife, F. S. 2003a. “A New Nonparametric Control Chart Based on the Observations Exceeding the Grand Median.” Pakistan Journal of Statistics 19 (3): 343–351.
   Google Scholar
• Altukife, F. S. 2003b. “Nonparametric Control Charts Based on Sum of Ranks.” Pakistan Journal of Statistics 19 (3): 291–300.
   Google Scholar
• Bakir, S. T. 2004. “A Distribution-free Shewhart Quality Control Chart Based on Signed-Ranks.” Quality Engineering 16 (4): 613–623. doi: 10.1081/qen-120038022.
   Google Scholar
• Bakir, S. T. 2006. “Distribution-free Quality Control Charts Based on Signed-Rank like Statistics.” Communication in Statistics: Theory and Methods 35 (4): 743–757. doi: 10.1080/03610920500498907.
   Web of Science ®Google Scholar
• Bakir, S. T. 2012. “A Nonparametric Shewhart Type Quality Control Chart for Monitoring Broad Changes in a Process Distribution.” International Journal of Quality, Statistics and Reliability 2012: 1–10. doi: 10.1155/2012/147520.
   Google Scholar
• Bakir, S. T., and M. R. Reynolds Jr.. 1979. “A Nonparametric Procedure for Process Control Based on within-Group Ranking.” Technometrics 21 (2): 175–183. doi: 10.1080/00401706.1979.10489747.
   Web of Science ®Google Scholar
• Barnard, G. A. 1959. “Control Charts and Stochastic Processes.” Journal of the Royal Statistical Society. Series (B) (Methodological) 21 (2): 239–271.
   Web of Science ®Google Scholar
• Bohn, L. L., and D. A. Wolfe. 1994. “The Effect of Imperfect Judgment Ranked-Set Samples Analog of the Mann–whitney–wilcoxon Statistics.” Journal of American Statistical Association 89 (425): 168–176. doi: 10.1080/01621451994.10476458.
   Web of Science ®Google Scholar
• Chakraborti, S., and S. Eryilmaz. 2007. “A Non-parametric Shewhart Type Sign Rank Control Chart Based on Runs.” Communication in Statistics: Simulation and Computation 36 (2): 335–356. doi: 10.1080/03610910601158427.
   Web of Science ®Google Scholar
• Chakraborti, S., P. Van der Lann, and S. T. Bakir. 2001. “Nonparametric Control Charts: An Overview and Some Results.” Journal of Quality Technology 33 (3): 304–315.
   Web of Science ®Google Scholar
• Chakraborti, S., and M. A. Van der Wiel. 2008. “A Nonparametric Control Chart Based on the Mann–whitney Statistic.” Beyond Parametrics in Interdisciplinary Research: Festschrift in Honor of Professor Pranab K. Sen 1: 156–172. doi: 10.1214/193940307000000112.
   Google Scholar
• Chen, Z. 1999. “Density Estimation Using Ranked-set Sampling Data.” Environmental and Ecological Statistics 6 (2): 135–146. doi: 10.1023/A:1009661919622.
   Web of Science ®Google Scholar
• Chen, Z. 2000. “On Ranked-set Sample Quantiles and Their Applications.” Journal of Statistical Planning and Inference 83 (1): 125–135. doi: 10.1016/S0378-3758(99)00071-3.
   Web of Science ®Google Scholar
• Das, N. 2009. “A Comparison Study of Three Non-parametric Control Charts to Detect Shifts in Location Parameters.” The International Journal of Advanced Manufacturing Technology 41 (7–8): 799–807. doi: 10.1007/S00170-008-1524-3.
   Web of Science ®Google Scholar
• Das, N., and A. Bhattacharya. 2008. “A New Non-Parametric Control Chart for Controlling Variability.” Quality Technology and Quantitative Management 5 (4): 351–361.
   Google Scholar
• Dell, T. R., and J. L. Clutter. 1972. “Ranked-set Sampling Theory with Order Statistics Background.” Biometrics 28 (2): 545–553. doi: 10.2307/2556166.
   Web of Science ®Google Scholar
• Gan, F. F. 1993. “An Optimal Design of EWMA Control Charts Based on Median Run Length.” Journal of Statistical Computation and Simulation 45 (3–4): 169–184. doi: 10.1080/00949659308811479.
   Web of Science ®Google Scholar
• Gan, F. F. 1994. “An Optimal Design of Cumulative Sum Control Chart Based on Median Run Length.” Communications in Statistics – Simulation and Computation 23 (2): 485–503. doi: 10.1080/03610919408813183.
   Web of Science ®Google Scholar
• Halls, L. K., and T. R. Dell. 1966. “Trial of Ranked Set Sampling for Forage Yields.” Forest Science 12 (1): 22–26.
   Web of Science ®Google Scholar
• Haq, A. 2014. “An Improved Mean Deviation Exponentially Weighted Moving Average Control Chart to Monitor Process Dispersion under Ranked Set Sampling.” Journal of Statistical Computation and Simulation 84 (9): 2011–2024. doi: 10.1080/00949655.2013.780059.
   Web of Science ®Google Scholar
• Haq, A., J. Brown, E. Moltchanova, and A. I. Al-Omari. 2015. “Effect of Measurement Error on Exponentially Weighted Moving Average Control Charts under Ranked Set Sampling Schemes.” Journal of Statistics Computation and Simulation 85 (6): 1224–1246. doi: 10.1080/00949655.2013.873040.
   Web of Science ®Google Scholar
• Hettmansperger, T. P. 1995. “The Ranked-Set Sample Sign Test.” Journal of Nonparametric Statistics 47 (3): 263–270. doi: 10.1080/10485259508832617.
   Google Scholar
• Kaur, A., G. P. Patil, C. Taillie, and J. Wit. 2002. “Ranked Set Sample Sign Test for Quantiles.” Journal of Statistical Planning and Inference 100 (2): 337–347. doi: 10.1016/S0378-3758(01)00144-6.
   Web of Science ®Google Scholar
• Koti, K. M., and G. J. Babu. 1996. “Sign Test for Ranked-set Sampling.” Communication in Statistics Theory and Methods 25 (7): 1617–1630. doi: 10.1080/03610929608831789.
   Web of Science ®Google Scholar
• Kvam, P. H., and F. J. Samaniego. 1994. “Nonparametric Maximum Likelihood Estimation Based on Ranked Set Samples.” Journal of the American Statistical Association 89 (426): 526–537. doi: 10.1080/01621459.1994.10476777.
   Web of Science ®Google Scholar
• Maravelakis, P. E., J. Panaretos, and S. Psarakis. 2005. “An Examination of the Robustness to Non Normality of the EWMA Control Charts for the Dispersion.” Communications in Statistics Simulation and Computation 34 (4): 1069–1079. doi: 10.1080/03610910500308719.
   Web of Science ®Google Scholar
• Mclntyre, G. A. 1952. “A Method for Unbiased Selective Sampling, Using Ranked Sets.” Australian Journal of Agricultural Research 3 (4): 385–390. doi: 10.1071/AR9520385.
   Google Scholar
• Mehmood, R., M. Riaz, and R. J. M. M. Does. 2013. “Control Charts for Location Based on Different Sampling Schemes.” Journal of Applied Statistics 40 (3): 483–494. doi: 10.1080/02664763.2012.740624.
   Web of Science ®Google Scholar
• Muttlak, H. A., and W. Al-Sabah. 2003. “Statistical Quality Control Based on Pair and Selected Ranked Set Sampling.” Pakistan Journal of Statistics 19 (1): 107–128.
   Google Scholar
• Muttlak, H. A., and W. Al-Sabah. 2010. “Statistical Quality Control Based on Ranked Set Sampling.” Journal of Applied Statistics 30 (9): 1055–1078. doi: 10.1080/0266476032000076173.
   Web of Science ®Google Scholar
• Patil, G. P., A. K. Sinlia, and C. Taillie. 1999. “Ranked Set Sampling: A Bibliography.” Environmental and Ecological Statistics 6 (1): 91–98. doi: 10.1023/A:1009647718555.
   Web of Science ®Google Scholar
• Riaz, M. 2015. “A Sensitive Non-parametric EWMA Control Chart.” Journal of the Chinese Institute of Engineers 38 (2): 208–219. doi: 10.1080/02533839.2014.955975.
   Web of Science ®Google Scholar
• Roberts, S. W. 1959. “Control Chart Tests Based on Geometric Moving Averages.” Technometrics 1 (3): 239–250. doi: 10.1080/00401706.1959.10489860.
   Google Scholar
• Samawi, H., and W. Abu-Dayyeh. 2002. “More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison.” Journal of Statistical Computation and Simulation 73 (10): 697–708. doi: 10.1080/0094965031000078864.
   Web of Science ®Google Scholar
• Stokes, S. L., and T. W. Sager. 1988. “Characterization of a Ranked Set Sample with Application to Estimating Distribution Functions.” Journal of the American Statistical Association 83 (402): 374–381. doi: 10.1080/01621459.1988.10478607.
   Web of Science ®Google Scholar
• Takahasi, K., and K. Wakimoto. 1968. “On Unbiased Estimates of the Population Mean Based on the Sample Stratified by Means of Ordering.” Annals of the Institute of Statistical Mathematics 20 (1): 1–31. doi: 10.1007/BF02911622.
   Web of Science ®Google Scholar
• Wang, D., and O. Hryniewicz. 2015. “A Fuzzy Non-parametric Shewhart Chart Based on the Bootstrap Approach.” International Journal of Applied Mathematics and Computer Science 25 (2): 389–401. doi: 10.1515/amcs-2015-0030.
   Web of Science ®Google Scholar
• Woodall, W. H. 1983. “The Distribution of the Run Length of One-sided CUSUM Procedures for Continuous Random Variables.” Technometrics 25 (3): 295–301. doi: 10.1080/00401706.1983.10487883.
   Web of Science ®Google Scholar
• Yang, S.-F., and S. W. Cheng. 2010. “A New Non-parametric CUSUM Mean Chart.” Quality and Reliability Engineering International 27 (7): 867–875. doi: 10.1002/qre.1171.
   Web of Science ®Google Scholar
• Yang, S.-F., J. S. Lin, and S. W. Cheng. 2011. “A New Non-parametric EWMA Sign Control Chart.” Expert Systems with Applications 38 (5): 6239–6243. doi: 10.1016/j.eswa.2010.11.044.
   Web of Science ®Google Scholar