A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework

This study deals with the cumulative charting technique based on a simple and a mixture of Rayleigh models. The respective charting schemes are referred as the SRCQC-chart and the MRCQC-chart. These are stimulated from existing statistical control charts in this direction i.e. the cumulative quantit...

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Autores:
Aslam, Muhammad
Riaz, Muhammad
Sindhu, Tabassum Naz
Ahmed, Zaheer
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66518
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66518
http://bdigital.unal.edu.co/67546/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Quality control
Inverse Transformation Method
Loss Functions and Bayes Estimators
MRCQC-Chart
SRCQC-Char
Control de calidad
Método de la transformación
Función de pérdida
Estimador bayesiano
Carta MRCQC
Carta SRCQC
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_2b6b328e0edf82ce140d01d3dcca7f27
oai_identifier_str oai:repositorio.unal.edu.co:unal/66518
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
title A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
spellingShingle A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Quality control
Inverse Transformation Method
Loss Functions and Bayes Estimators
MRCQC-Chart
SRCQC-Char
Control de calidad
Método de la transformación
Función de pérdida
Estimador bayesiano
Carta MRCQC
Carta SRCQC
title_short A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
title_full A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
title_fullStr A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
title_full_unstemmed A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
title_sort A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework
dc.creator.fl_str_mv Aslam, Muhammad
Riaz, Muhammad
Sindhu, Tabassum Naz
Ahmed, Zaheer
dc.contributor.author.spa.fl_str_mv Aslam, Muhammad
Riaz, Muhammad
Sindhu, Tabassum Naz
Ahmed, Zaheer
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
topic 51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Quality control
Inverse Transformation Method
Loss Functions and Bayes Estimators
MRCQC-Chart
SRCQC-Char
Control de calidad
Método de la transformación
Función de pérdida
Estimador bayesiano
Carta MRCQC
Carta SRCQC
dc.subject.proposal.spa.fl_str_mv Quality control
Inverse Transformation Method
Loss Functions and Bayes Estimators
MRCQC-Chart
SRCQC-Char
Control de calidad
Método de la transformación
Función de pérdida
Estimador bayesiano
Carta MRCQC
Carta SRCQC
description This study deals with the cumulative charting technique based on a simple and a mixture of Rayleigh models. The respective charting schemes are referred as the SRCQC-chart and the MRCQC-chart. These are stimulated from existing statistical control charts in this direction i.e. the cumulative quantity control (CQC) chart, based on exponential and Weibull models, and the cumulative count control (CCC) chart, based on the simple geometricmodel. Another motivation for this study is the mixture cumulative count control (MCCC) chart based on the two component geometric model. The use of mixture cumulative quantity is an attractive approach for process monitoring. The design structure of the proposed control chart is derived by using the cumulative distribution function of simple, and two components of mixture distribution(s). We observed that the proposed charting structure is efficient in detecting the changes in process parameters. The application of the proposed scheme is illustrated using a real dataset.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:17:16Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:17:16Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.issn.spa.fl_str_mv ISSN: 2389-8976
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66518
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67546/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66518
http://bdigital.unal.edu.co/67546/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/estad/article/view/58915
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Estadística
Revista Colombiana de Estadística
dc.relation.references.spa.fl_str_mv Aslam, Muhammad and Riaz, Muhammad and Sindhu, Tabassum Naz and Ahmed, Zaheer (2016) A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework. Revista Colombiana de Estadística, 39 (2). pp. 185-204. ISSN 2389-8976
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadística
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66518/1/58915-300487-2-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Aslam, Muhammad31a83aea-c73a-4337-99f1-15de0c151ddf300Riaz, Muhammadcb1cb6be-8312-411f-a7f8-fae91a1d040e300Sindhu, Tabassum Naz34a7afc8-a5b1-4268-a364-ff359c4be32c300Ahmed, Zaheer3ef720b0-922e-4889-95c7-a6de791d741d3002019-07-03T02:17:16Z2019-07-03T02:17:16Z2016-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66518http://bdigital.unal.edu.co/67546/This study deals with the cumulative charting technique based on a simple and a mixture of Rayleigh models. The respective charting schemes are referred as the SRCQC-chart and the MRCQC-chart. These are stimulated from existing statistical control charts in this direction i.e. the cumulative quantity control (CQC) chart, based on exponential and Weibull models, and the cumulative count control (CCC) chart, based on the simple geometricmodel. Another motivation for this study is the mixture cumulative count control (MCCC) chart based on the two component geometric model. The use of mixture cumulative quantity is an attractive approach for process monitoring. The design structure of the proposed control chart is derived by using the cumulative distribution function of simple, and two components of mixture distribution(s). We observed that the proposed charting structure is efficient in detecting the changes in process parameters. The application of the proposed scheme is illustrated using a real dataset.Este estudio trata con cartas de control acumuladas basadas en distribuciones Rayleigh y en mixturas de estas mismas. Las cartas se denominan SRCQC y MRCQC, respectivamente. Estas se fundamentan en cartas existentes como la carta de control de cantidades acumuladas (CQC), basada en modelos exponencial y Weibull en la carta de control de conteos acumulados (CCC), soportada en un modelo geométrico. Otra propuesta del estudio es la carta de control de mixtura de conteos acumulados (MCCC). Esta última es muy atractiva en procesos de monitoreo. La estructura de diseño de las cartas propuestas se deriva usando la función de distribución acumulada simple y la mixtura de dos distribuciones acumuladas. Se observa que las cartas propuestas son eficientes para detectar cambios en los parámetros del proceso. La aplicación del esquema propuesto es ilustrada usando un conjuntode datos reales.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/58915Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaAslam, Muhammad and Riaz, Muhammad and Sindhu, Tabassum Naz and Ahmed, Zaheer (2016) A Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian Framework. Revista Colombiana de Estadística, 39 (2). pp. 185-204. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsQuality controlInverse Transformation MethodLoss Functions and Bayes EstimatorsMRCQC-ChartSRCQC-CharControl de calidadMétodo de la transformaciónFunción de pérdidaEstimador bayesianoCarta MRCQCCarta SRCQCA Study of Cumulative Quantity Control Chart for a Mixture of Rayleigh Model under a Bayesian FrameworkArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL58915-300487-2-PB.pdfapplication/pdf1530712https://repositorio.unal.edu.co/bitstream/unal/66518/1/58915-300487-2-PB.pdfc3da60f8b282708076049638bd8fb00eMD51THUMBNAIL58915-300487-2-PB.pdf.jpg58915-300487-2-PB.pdf.jpgGenerated Thumbnailimage/jpeg5573https://repositorio.unal.edu.co/bitstream/unal/66518/2/58915-300487-2-PB.pdf.jpgb5ae807217e0fa4391641cb1ad85f399MD52unal/66518oai:repositorio.unal.edu.co:unal/665182024-05-16 23:09:37.503Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co