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...
- 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
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UNACIONAL2 |
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Universidad Nacional de Colombia |
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|
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 |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
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 https://repositorio.unal.edu.co/bitstream/unal/66518/2/58915-300487-2-PB.pdf.jpg |
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Repositorio Institucional Universidad Nacional de Colombia |
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1814089209845121024 |
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 |