High Breakdown Estimation Methods for Phase I Multivariate Control Charts

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dc.contributor.authorJensen, Willis A.en
dc.contributor.authorBirch, Jeffrey B.en
dc.contributor.authorWoodall, William H.en
dc.contributor.departmentStatisticsen
dc.date.accessioned2019-05-08T19:46:22Zen
dc.date.available2019-05-08T19:46:22Zen
dc.date.issued2005en
dc.description.abstractThe goal of Phase I monitoring of multivariate data is to identify multivariate outliers and step changes so that the estimated control limits are sufficiently accurate for Phase II monitoring. High breakdown estimation methods based on the minimum volume ellipsoid (MVE) or the minimum covariance determinant (MCD) are well suited to detecting multivariate outliers in data. However, they are difficult to implement in practice due to the extensive computation required to obtain the estimates. Based on previous studies, it is not clear which of these two estimation methods is best for control chart applications. The comprehensive simulation study here gives guidance for when to use which estimator, and control limits are provided. High breakdown estimation methods such as MCD and MVE, can be applied to a wide variety of multivariate quality control data.en
dc.format.extent45 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.sourceurlhttps://www.stat.vt.edu/content/dam/stat_vt_edu/graphics-and-pdfs/research-papers/Technical_Reports/TechReport05-6.pdfen
dc.identifier.urihttp://hdl.handle.net/10919/89427en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.ispartofseriesTechnical Report No. 05-6en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAsymptotic Propertiesen
dc.subjectBreakdown Pointen
dc.subjectMinimum Covariance Determinanten
dc.subjectMinimum Volume Ellipsoiden
dc.subjectMultivariate Outliersen
dc.subjectMultivariate Statistical Process Controlen
dc.subjectRobust Estimationen
dc.titleHigh Breakdown Estimation Methods for Phase I Multivariate Control Chartsen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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