Synthetic Double Sampling X̄ Chart with Estimated Process Parameters

References

• Calzada, M. E. and Scariano, S. M. (2013). A synthetic control chart for the coefficient of variation. Journal of Statistical Computation and Simulation, 83(5), 853–867.
   Google Scholar
• Capizzi, G. and Masarotto, G. (2010). Combined Shewhart-EWMA control charts with estimated parameters. Journal of Statistical Computation and Simulation, 80(7), 793–807.
   Google Scholar
• Castagliola, P., Celano, G. and Chen, G. (2009). The exact run length distribution and design of the S2 chart when the in-control variance is estimated. International Journal of Reliability, Quality and Safety Engineering, 16(1), 23–38.
   Google Scholar
• Castagliola, P. and Maravelakis, P. E. (2011). A CUSUM control chart for monitoring the variance when parameters are estimated. Journal of Statistical Planning and Inference, 141(4), 1463–1478.
   Google Scholar
• Castagliola, P., Zhang, Y., Costa, A. and Maravelakis, P. (2012). The variable sample size X̄ chart with estimated parameters. Quality and Reliability Engineering International, 28(7), 687–699.
   Google Scholar
• Chakraborti, S. (2007). Run length distribution and percentiles: The shewhart X̄ chart with unknown parameters. Quality Engineering, 19(2), 119–127.
   Google Scholar
• Chengalur, I. N., Arnold, J. C. and Reynolds, M. R. Jr. (1989). Variable sampling intervals for multiparameter Shewhart charts. Communications in Statistics — Theory and Methods, 18(5), 1769–1792.
   Google Scholar
• Croasdale, R. (1974). Control charts for a double-sampling scheme based on average production run lengths. International Journal of Production Research, 12(5), 585–592.
   Google Scholar
• Daudin, J. J. (1992). Double sampling X̄ charts. Journal of Quality Technology, 24(2), 78–87.
   Google Scholar
• Daudin, J. J., Duby, C. and Trecourt, P. (1990). Plans de controle double optimaux (maitrise des procedes et controle de reception). Revue De Statistique Appliquee, 38(4), 45–59.
   Google Scholar
• Jensen, W. A., Jones-Farmer, L. A., Champ, C. W. and Woodall, W. H. (2006). Effects of parameter estimation on control chart properties: A literature review. Journal of Quality Technology, 38(4), 349–364.
   Google Scholar
• Khoo, M. B. C., Lee, H. C., Wu, Z., Chen, C. H. and Castagliola, P. (2010). A synthetic double sampling control chart for the process mean. IIE Transactions, 43(1), 23–38.
   Google Scholar
• Khoo, M. B. C., Teoh, W. L., Castagliola, P. and Lee, M. H. (2013). Optimal designs of the double sampling X̄ chart with estimated parameters. International Journal of Production Economics, 144(1), 345–357.
   Google Scholar
• Maravelakis, P. E. and Castagliola, P. (2009). An EWMA chart for monitoring the process standard deviation when parameters are estimated. Computational Statistics and Data Analysis, 53(7), 2653–2664.
   Google Scholar
• Montgomery, D. C. (2012). Introduction to Statistical Quality Control, 7th edition. Wiley, New York.
   Google Scholar
• Reynolds, M. R. Jr., Amin, R. W., Arnold, J. C. and Nachlas, J. A. (1988). X charts with variable sampling intervals. Technometrics, 30(2), 181–192.
   Google Scholar
• Reynolds, M. R. Jr. and Arnold, J. C. (1989). Optimal one-sided Shewhart control charts with variable sampling intervals. Sequential Analysis, 8(1), 51–77.
   Google Scholar
• Schoonhoven, M., Riaz, M. and Does, R. J. M. M. (2011). Design and analysis of control charts for standard deviation with estimated parameters. Journal of Quality Technology, 43(4), 307–333.
   Google Scholar
• Woodall, W. H. and Montgomery, D. C. (1999). Research issues and ideas in statistical process control. Journal of Quality Technology, 31(4), 376–386.
   Google Scholar
• Wu, Z. and Spedding, T. A. (2000). A synthetic control chart for detecting small shifts in the process mean. Journal of Quality Technology, 32(1), 32–38.
   Google Scholar
• Zhang, Y. and Castagliola, P. (2010). Run rules X̄ charts when process parameters are unknown. International Journal of Reliability, Quality and Safety Engineering, 17(4), 381–399.
   Google Scholar
• Zhang, Y., Castagliola, P., Wu, Z. and Khoo, M. B. C. (2011). The synthetic X̄ chart with estimated parameters. IIE Transactions, 43(9), 676–687.
   Google Scholar
• Zhang, Y.,Castagliola, P., Wu, Z. and Khoo, M. B. C. (2012). The variable sampling interval X̄ chart with estimated parameters. Quality and Reliability Engineering International, 28(1), 19–34.
   Google Scholar