Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters

[EN] Quality control charts are widely used to monitor production processes. To fix the control limits, the distribution of the statistic being controlled must be known. For using (X) over bar and S control charts together, when the parameters are unknown, the mean and standard deviation of the proc...

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Autores: Mosquera-Restrepo, Jaime, Kahn Epprecht, Eugenio, Aparisi García, Francisco José|||0000-0001-9934-1355
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/213925
Acceso en línea:https://riunet.upv.es/handle/10251/213925
Access Level:acceso abierto
Palabra clave:X-bar S control charts
Estimated parameters
Estimation effect
Conditional performance
Phase I
ESTADISTICA E INVESTIGACION OPERATIVA
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spelling Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parametersMosquera-Restrepo, JaimeKahn Epprecht, EugenioAparisi García, Francisco José|||0000-0001-9934-1355X-bar S control chartsEstimated parametersEstimation effectConditional performancePhase IESTADISTICA E INVESTIGACION OPERATIVA[EN] Quality control charts are widely used to monitor production processes. To fix the control limits, the distribution of the statistic being controlled must be known. For using (X) over bar and S control charts together, when the parameters are unknown, the mean and standard deviation of the process must be estimated. Errors in these estimates can cause the real performance of the joint (X) over bar - S charts to be different from that expected by the user, and the in-control and out-of-control ARL may therefore be very different from the theoretical values. To date, only the effect of the estimation errors on the in-control performance of the joint (X) over bar - S charts has been studied in the literature. In this article, we study jointly this effect on both performance measures, the in-control and out-of-control ARLs for joint (X) over bar - S charts, and estimate the number of samples needed in Phase I to guarantee a required level in the probability of obtaining joint (X) over bar - S charts with acceptable in-control and out-of-control performances.Taylor & FrancisDepartamento de Estadística e Investigación Operativa Aplicadas y CalidadEscuela Técnica Superior de Ingeniería IndustrialCentro de Gestión de la Calidad y del CambioRepositorio Institucional de la Universitat Politècnica de València Riunet20212021-11-02journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/octet-streamhttps://riunet.upv.es/handle/10251/213925reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2139252026-06-13T07:49:27Z
dc.title.none.fl_str_mv Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
title Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
spellingShingle Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
Mosquera-Restrepo, Jaime
X-bar S control charts
Estimated parameters
Estimation effect
Conditional performance
Phase I
ESTADISTICA E INVESTIGACION OPERATIVA
title_short Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
title_full Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
title_fullStr Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
title_full_unstemmed Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
title_sort Guaranteeing acceptable in-control and out-of-control performance of joint X -S control charts with estimated parameters
dc.creator.none.fl_str_mv Mosquera-Restrepo, Jaime
Kahn Epprecht, Eugenio
Aparisi García, Francisco José|||0000-0001-9934-1355
author Mosquera-Restrepo, Jaime
author_facet Mosquera-Restrepo, Jaime
Kahn Epprecht, Eugenio
Aparisi García, Francisco José|||0000-0001-9934-1355
author_role author
author2 Kahn Epprecht, Eugenio
Aparisi García, Francisco José|||0000-0001-9934-1355
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Estadística e Investigación Operativa Aplicadas y Calidad
Escuela Técnica Superior de Ingeniería Industrial
Centro de Gestión de la Calidad y del Cambio
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv X-bar S control charts
Estimated parameters
Estimation effect
Conditional performance
Phase I
ESTADISTICA E INVESTIGACION OPERATIVA
topic X-bar S control charts
Estimated parameters
Estimation effect
Conditional performance
Phase I
ESTADISTICA E INVESTIGACION OPERATIVA
description [EN] Quality control charts are widely used to monitor production processes. To fix the control limits, the distribution of the statistic being controlled must be known. For using (X) over bar and S control charts together, when the parameters are unknown, the mean and standard deviation of the process must be estimated. Errors in these estimates can cause the real performance of the joint (X) over bar - S charts to be different from that expected by the user, and the in-control and out-of-control ARL may therefore be very different from the theoretical values. To date, only the effect of the estimation errors on the in-control performance of the joint (X) over bar - S charts has been studied in the literature. In this article, we study jointly this effect on both performance measures, the in-control and out-of-control ARLs for joint (X) over bar - S charts, and estimate the number of samples needed in Phase I to guarantee a required level in the probability of obtaining joint (X) over bar - S charts with acceptable in-control and out-of-control performances.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-11-02
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/213925
url https://riunet.upv.es/handle/10251/213925
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/octet-stream
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869422790416793600
score 15.811543

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