Control charts based on parameter depths

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dc.contributor.author Cascos Fernández, Ignacio
dc.contributor.author López Díaz, Miguel
dc.date.accessioned 2021-03-16T15:09:59Z
dc.date.available 2021-03-16T15:09:59Z
dc.date.issued 2018-01-01
dc.identifier.bibliographicCitation Applied Mathematical Modelling, 2018, 53, 487-509
dc.identifier.issn 0307-904X
dc.identifier.uri http://hdl.handle.net/10016/32158
dc.description.abstract Control charts are designed to monitor on-going production processes by tracking subsequent samples of the production using some statistic of a quality characteristic. We propose to track the parameter depths of estimates of a parameter by means of depth (D) charts, or the associated depth-based ranks by means of r-charts. More precisely, given a general parameter (e.g. mean, standard deviation or pair given by mean and standard deviation) and some historical data of the production, the parameter depth of an estimate of the parameter on new samples of the production with regard to the historical data is computed. The process is considered to be out-of-control when the depth of the estimate of the parameter falls below some given threshold (control limit). Some control limits of specific D-charts are obtained under the assumption of normality of the quality characteristic. (C) 2017 Elsevier Inc. All rights reserved.
dc.description.sponsorship The authors gratefully acknowledge the support of the Spanish Ministry of Science and Innovation under Grants ECO2015-66593 and MTM2015-63971-P and the Principado de Asturias under grant FC-15-GRUPIN14-101.
dc.format.extent 23
dc.rights © 2017 Elsevier Inc.
dc.rights Atribución-NoComercial-SinDerivadas 3.0 España
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.other depth-based rank
dc.subject.other parameter depth
dc.subject.other statistical process control
dc.subject.other Zonoid depth
dc.subject.other (μ, σ)-depth
dc.title Control charts based on parameter depths
dc.type article
dc.subject.eciencia Estadística
dc.identifier.doi https://doi.org/10.1016/j.apm.2017.09.009
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. ECO2015-66593-P
dc.relation.projectID Gobierno de España. MTM2015-63971-P
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 487
dc.identifier.publicationlastpage 509
dc.identifier.publicationtitle APPLIED MATHEMATICAL MODELLING
dc.identifier.publicationvolume 53
dc.identifier.uxxi AR/0000020950
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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