Hotelling's T 2 control chart with double warning lines

Faraz, Alireza; Parsian, Ahmad

doi:10.1007/s00362-006-0307-x

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Article (Scientific journals)

Hotelling's T 2 control chart with double warning lines

Faraz, Alireza; Parsian, Ahmad

2006 • In Statistical Papers, 47 (4), p. 569-593

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https://hdl.handle.net/2268/89962

DOI
10.1007/s00362-006-0307-x

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Keywords :

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.

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

Parsian, Ahmad; University of Tehran, Theran, Iran > School of Mathematics, Statistics and Computer Science,

Language :

English

Title :

Hotelling's T 2 control chart with double warning lines

Alternative titles :

[en] DWL T2

Publication date :

2006

Journal title :

Statistical Papers

ISSN :

0932-5026

Publisher :

Springer Science & Business Media B.V.

Volume :

Issue :

Pages :

569-593

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

http://link.springer.com/article/10.1007%2Fs00362-006-0307-x

Available on ORBi :

since 02 May 2011

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