Adaptive c-chart with estimated parameter

References

• Castagliola, P., Zhang, Y. (2010). Run rules X‾ charts when process parameters are unknown. Int. J. Reliab. Qual. Saf. Eng. 17(04):381–399.
   Google Scholar
• Castagliola, P., Zhang, Y., Costa, A., Maravelakis, P. (2012). The variable sample size X‾ chart with estimated parameters. Qual. Reliab. Eng. Int. 28(7):687–699.
   Web of Science ®Google Scholar
• Castillo, E.D. (1996). Evaluation of run length distribution for X charts with unknown variance. J. Qual. Technol. 28(1):116–122.
   Web of Science ®Google Scholar
• Chakraborti, S., Human, S.W. (2006). Parameter estimation and performance of the chart for attributes data. Reliab. IEEE Trans. 55(3):559–566.
   Web of Science ®Google Scholar
• Chakraborti, S., Human, S.W. (2008). Properties and performance of the C-chart for attributes data. J. Appl. Stat. 35(1):89–100.
   Web of Science ®Google Scholar
• Chen, G. (1997). The mean and standard deviation of the run length distribution of X charts when control limits are estimated. Stat. Sinica 7:789–798.
   Web of Science ®Google Scholar
• Chen, G. (1998). The run length distributions of the R, S and S2 control charts when is estimated. Can. J. Stat. 26(2):311–322.
   Web of Science ®Google Scholar
• Chen, G., Castagliola, P., Celano, G. (2009). The exact run length distribution and design of the S2 chart when the in-control variance is estimated. Int. J. Reliab. Qual. Saf. Eng. 16(01):23–38.
   Google Scholar
• Costa, A. (1997). X‾ chart with variable sample size and sampling intervals. J. Qual. Technol. 29(2):197–204.
   Web of Science ®Google Scholar
• Costa, A. (1998). Joint X-Bar and R charts with variable parameters. IIE Trans. 31(4):505–514.
   Google Scholar
• Costa, A. (1999). X-Bar charts with variable parameters. J. Qual. Technol. 31:408–416.
   Web of Science ®Google Scholar
• Epprecht, E., Costa, A. (2001). Adaptive sample size control charts for attributes. Qual. Eng. 13(3):465–473.
   Google Scholar
• Epprecht, E., Costa, A.F.B., Mendes, F.C.T. (2003). Adaptive control charts for attributes. IIE Trans. 35(6):567–582.
   Web of Science ®Google Scholar
• Ghosh, B.K., Reynolds, M.R., Yer, V.H. (1981). Shewhart X-charts with estimated process variance. Commun. Stat. Theory Methods 10(18):1797–1822.
   Web of Science ®Google Scholar
• Jensen, W.A., Jones-Farmer, L.A., Champ, C.W., Woodall, W.H. (2006). Effects of parameter estimation on control chart properties: A literature review. J. Qual. Technol. 38(4):349–364.
   Web of Science ®Google Scholar
• Latouche, G., Ramaswami, V. (1999). Introduction to Matrix Analytic Methods in Stochastic Modeling (Vol. 5). Philadelphia, Pennsylvania: Siam.
   Google Scholar
• Mahadik, S.B., Shirke, D.T. (2009). A special variable sample size and sampling interval chart. Commun. Stat. TheoryMethods 38(8):1284–1299.
   Web of Science ®Google Scholar
• Maravelakis, P.E., Panaretos, J., Psarakis, S. (2002). Effect of estimation of the process parameters on the control limits of the unvariate control charts for process dispersion. Commun. Stat. Simul. Comput. 31(3):443–461.
   Web of Science ®Google Scholar
• Neuts, M.F. (1981). Matrix-Geometric Solutions in Stochastic Models: An Algorithmic Approach. Baltimore: Johns Hopkins University Press.
   Google Scholar
• Prabhu, S., Runger, G., Keats, J. (1993). X‾ chart with adaptive sample sizes. Int. J. Prod. Res. 31(12):2895–2909.
   Web of Science ®Google Scholar
• Quesenberry, C. (1993). The effect of sample size on estimated limits for and X control charts. J. Qual. Technol. 25(4):237–247.
   Web of Science ®Google Scholar
• Reynolds, M.R., Raid, A., Jesse, A., Joel, N. (1988). X‾ charts with variable sampling intervals. Technometrics 30(2):181–192.
   Web of Science ®Google Scholar
• Tagaras, G. (1998). A survey of recent developments in the design of adaptive control charts. J. Qual. Technol. 30(3):212–231.
   Web of Science ®Google Scholar
• Tang, L.C., Cheong, W.T. (2004). Cumulative conformance count chart with sequentially updated parameters. IIE Trans. 36(9):841–853.
   Web of Science ®Google Scholar
• Vaughan, T.S. (1992). Variable sampling interval np process control chart. Commun. Stat. Theory Methods 22(1):147–167.
   Web of Science ®Google Scholar
• Wu, S., Castagliola, P. (2012). Design of the C and Np charts when the parameters are estimated. Int. J. Reliab. Qual. Saf. Eng. 19(02):1250010.
   Google Scholar
• Yang, Z., Xie, M., Kuralmani, V., Tsui, K.-L. (2002). On the performance of geometric charts with estimated control limits. J. Qual. Technol. 34(4):448–458.
   Web of Science ®Google Scholar
• Zhang, M., Peng, Y., Schuh, A., Megahed, F.M., Woodall, W.H. (2013). Geometric charts with estimated control limits. Qual. Reliab. Eng. Int. 29(2):209–223.
   Web of Science ®Google Scholar
• Zhang, Y., Castagliola, P., Wu, Z., Khoo, M. (2011). The synthetic [Xbar] chart with estimated parameters. IIE Trans. 43(9):676–687.
   Web of Science ®Google Scholar
• Zhang, Y., Castagliola, P., Wu, Z., Khoo, M.B.C. (2012). The variable sampling interval X¯ chart with estimated parameters. Qual. Reliab. Eng. Int. 28(1):19–34.
   Web of Science ®Google Scholar