Abstract
We provide some unifying definitions, make some corrections to articles by Faraz and Parsian (J Stat Pap 47:569–593, 2006) and Costa (J Qual Technol 26:155–163, 1994; 29:197–204, 1997), and using these provide more accurate tables of results and comparisons of control charts. We also investigate the impact of an incorrectly specified process shift on signal frequency.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Costa AFB (1994) \({\bar {X}}\) charts with variable sampling size. J Qual Technol 26: 155–163
Costa AFB (1997) \({\bar {X}}\) charts with variable sampling size and sampling intervals. J Qual Technol 29: 197–204
Costa AFB (1999) Joint \({\bar {X}}\) and R charts with variable sample sizes and sampling intervals. J Qual Technol 31: 387–397
Daudin JJ (1992) Double sampling \({\bar {X}}\) charts. J Qual Technol 24: 78–87
Faraz A, Parsian A (2006) Hotelling’s T2 control chart with double warning lines. J Stat Pap 47: 569–593
Prabhu SS, Montgomery DC, Runger GC (1994) A combined adaptive sample size and sampling interval \({\bar {X}}\) control scheme. J Qual Technol 26: 164–176
Reynolds MR Jr, Arnold JC (1989) Optimal one-sided Shewhart control charts with variable sampling intervals. Seq Anal 8: 51–77
Runger GC, Pignatiello JJ (1991) Adaptive sampling for process controls. J Qual Technol 23: 135–155
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Faraz, A., Saniga, E. A unification and some corrections to Markov chain approaches to develop variable ratio sampling scheme control charts. Stat Papers 52, 799–811 (2011). https://doi.org/10.1007/s00362-009-0288-7
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00362-009-0288-7