A unification and some corrections to Markov chain approaches to develop variable ratio sampling scheme control charts

Faraz, Alireza; Saniga, Erwin

doi:10.1007/s00362-009-0288-7

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Article (Scientific journals)

A unification and some corrections to Markov chain approaches to develop variable ratio sampling scheme control charts

Faraz, Alireza; Saniga, Erwin

2011 • In Statistical Papers, 52 (4), p. 799-811

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/89975

DOI
10.1007/s00362-009-0288-7

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Keywords :

Markov chain; variable sampling schemes; Adjusted average time to signal (AATS)

Abstract :

[en] We provide some unifying definitions, make some corrections to articles by Faraz and Parsian (J Stat Pap 47:569–593, 2006) and Costa (JQual 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.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Faraz, Alireza ; Université de Liège - ULiège > HEC-Ecole de gestion : UER > Statistique appliquée à la gestion et à l'économie

Saniga, Erwin; University of Delaware, Newark, DE 19716, USA > Department of Business Administration,

Language :

English

Title :

A unification and some corrections to Markov chain approaches to develop variable ratio sampling scheme control charts

Publication date :

November 2011

Journal title :

Statistical Papers

ISSN :

0932-5026

Publisher :

Springer Science & Business Media B.V.

Volume :

Issue :

Pages :

799-811

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://link.springer.com/article/10.1007%2Fs00362-009-0288-7

Available on ORBi :

since 02 May 2011

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Bibliography

Costa AFB (1994) X̄ charts with variable sampling size. J Qual Technol 26: 155-163.
Costa AFB (1997) X̄ charts with variable sampling size and sampling intervals. J Qual Technol 29: 197-204.
Costa AFB (1999) Joint X̄ and R charts with variable sample sizes and sampling intervals. J Qual Technol 31: 387-397.
Daudin JJ (1992) Double sampling X̄ 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 X̄ 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.