Reference : Hotelling's T 2 control chart with double warning lines

	Document type :	Scientific journals : Article
	Discipline(s) :	Business & economic sciences : Quantitative methods in economics & management
	To cite this reference:	http://hdl.handle.net/2268/89962

Title :	Hotelling's T 2 control chart with double warning lines
Language :	English
Alternative title :	[en] DWL T2
Author, co-author :	Faraz, Alireza [Université de Liège - ULg > HEC-Ecole de gestion de l'ULg : UER > Statistique appliquée à la gestion et à l'économie >]
	Parsian, Ahmad [University of Tehran, Theran, Iran > School of Mathematics, Statistics and Computer Science, > > >]
Publication date :	2006
Journal title :	Statistical Papers
Publisher :	Springer Science & Business Media B.V.
Volume :	47
Issue/season :	4
Pages :	569-593
Audience :	International
ISSN :	0932-5026
Keywords :	[en] Markov chain process, ; Multivariate T 2 control chart ; Variable sampling plan
Abstract :	[en] Recent studies have shown that the T 2 control chart with variable sampling intervals (VSI) and/or variable sample sizes (VSS) detects process shitis faster than the traditional T 2 chart. This article extends these studies for processes that are monitored with VSI and VSS using double warning lines ( T 2 - DWL ). It is assumed that the length of time the process remains in control has exponential distribution. The properties of T 2- DWL chart are obtained using Markov chains. The results show that the T 2 - DWL chart is quicker than VSI and/or VSS charts in detecting almost all shifts in the process mean.
Permalink :	http://hdl.handle.net/2268/89962

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