Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales

En el control estadístico de procesos caracterizados por una relación funcional entre dos variables, el supuesto de independencia entre las observaciones de un mismo perfil o entre perfiles es de uso recurrente en una gran cantidad de aplicaciones. La rápida obtención de información, la inercia de l...

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Autores:
Cardenas Pineda, David Humberto
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
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oai:repositorio.unal.edu.co:unal/80213
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/80213
https://repositorio.unal.edu.co/
Palabra clave:
510 - Matemáticas
Análisis multivariante
Multivariate analysis
Functional time series
Control charts
Nonlinear profiles
Functional data
Cartas de Control
Datos Funcionales
Perfiles no Lineales
Series de Tiempo Funcionales
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openAccess
License
Reconocimiento 4.0 Internacional
id UNACIONAL2_3591e40f4fbc65fb6ed6416ebd5f0730
oai_identifier_str oai:repositorio.unal.edu.co:unal/80213
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
dc.title.translated.eng.fl_str_mv Phase II monitoring of nonlinear profiles with temporal dependece using a functional data analysis approach
title Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
spellingShingle Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
510 - Matemáticas
Análisis multivariante
Multivariate analysis
Functional time series
Control charts
Nonlinear profiles
Functional data
Cartas de Control
Datos Funcionales
Perfiles no Lineales
Series de Tiempo Funcionales
title_short Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
title_full Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
title_fullStr Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
title_full_unstemmed Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
title_sort Monitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionales
dc.creator.fl_str_mv Cardenas Pineda, David Humberto
dc.contributor.advisor.none.fl_str_mv Guevara Gonzáles, Ruben Darío
Calderón Villanueva, Sergio Alejandro
dc.contributor.author.none.fl_str_mv Cardenas Pineda, David Humberto
dc.subject.ddc.spa.fl_str_mv 510 - Matemáticas
topic 510 - Matemáticas
Análisis multivariante
Multivariate analysis
Functional time series
Control charts
Nonlinear profiles
Functional data
Cartas de Control
Datos Funcionales
Perfiles no Lineales
Series de Tiempo Funcionales
dc.subject.lemb.spa.fl_str_mv Análisis multivariante
dc.subject.lemb.eng.fl_str_mv Multivariate analysis
dc.subject.proposal.eng.fl_str_mv Functional time series
Control charts
Nonlinear profiles
Functional data
dc.subject.proposal.spa.fl_str_mv Cartas de Control
Datos Funcionales
Perfiles no Lineales
Series de Tiempo Funcionales
description En el control estadístico de procesos caracterizados por una relación funcional entre dos variables, el supuesto de independencia entre las observaciones de un mismo perfil o entre perfiles es de uso recurrente en una gran cantidad de aplicaciones. La rápida obtención de información, la inercia de los procedimientos, entre otras causas, propician la violación del anterior supuesto, causando que una proporción considerable de los esquemas de control típicos se presenten como inadecuados. En este trabajo se plantea una propuesta de control para el monitoreo de perfiles no lineales en fase II, vistos como realizaciones de procesos temporales estacionarios en espacios funcionales, mediante un enfoque desde el análisis de datos funcionales. A través de un estudio de simulación el desempeño de la propuesta se evalúa. Además, se ilustra su aplicación usando datos industriales para el monitoreo de perfiles de temperatura en hornos industriales. (Texto tomado de la fuente)
publishDate 2020
dc.date.issued.none.fl_str_mv 2020
dc.date.accessioned.none.fl_str_mv 2021-09-16T15:01:04Z
dc.date.available.none.fl_str_mv 2021-09-16T15:01:04Z
dc.type.spa.fl_str_mv Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/TM
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/80213
dc.identifier.instname.spa.fl_str_mv Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv https://repositorio.unal.edu.co/
url https://repositorio.unal.edu.co/handle/unal/80213
https://repositorio.unal.edu.co/
identifier_str_mv Universidad Nacional de Colombia
Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv spa
language spa
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dc.publisher.department.spa.fl_str_mv Departamento de Estadística
dc.publisher.faculty.spa.fl_str_mv Facultad de Ciencias
dc.publisher.place.spa.fl_str_mv Bogotá - Colombia
dc.publisher.branch.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá
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spelling Reconocimiento 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Guevara Gonzáles, Ruben Daríoaa42312186461230e87a1ebb140b3710Calderón Villanueva, Sergio Alejandro4435821363acfcc5a0b97c50464db9d4Cardenas Pineda, David Humberto5b04117d4deaf838a59cfbe2583d48a42021-09-16T15:01:04Z2021-09-16T15:01:04Z2020https://repositorio.unal.edu.co/handle/unal/80213Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/En el control estadístico de procesos caracterizados por una relación funcional entre dos variables, el supuesto de independencia entre las observaciones de un mismo perfil o entre perfiles es de uso recurrente en una gran cantidad de aplicaciones. La rápida obtención de información, la inercia de los procedimientos, entre otras causas, propician la violación del anterior supuesto, causando que una proporción considerable de los esquemas de control típicos se presenten como inadecuados. En este trabajo se plantea una propuesta de control para el monitoreo de perfiles no lineales en fase II, vistos como realizaciones de procesos temporales estacionarios en espacios funcionales, mediante un enfoque desde el análisis de datos funcionales. A través de un estudio de simulación el desempeño de la propuesta se evalúa. Además, se ilustra su aplicación usando datos industriales para el monitoreo de perfiles de temperatura en hornos industriales. (Texto tomado de la fuente)In the statistical control of processes characterized by functional relationships between two variables the independence assumption of observations within a profile or between profiles is commonly used in most of applications. Flows of data at higher speeds, procedures inertia, among other causes, leads to a violation of the former assumption, driving a considerable amount of control schemes to be classified as inadequate. In this thesis, a control schema is proposed for phase II monitoring of nonlinear profiles, treated as realizations of stationary functional processes, using a functional data analysis approach. Through simulation studies the proposal performance is accessed, furthermore, its use is explained within an industrial application in profile monitoring of industrial ovens temperature.MaestríaMagíster en Ciencias - Estadísticaxv, 87 páginasapplication/pdfspaUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - EstadísticaDepartamento de EstadísticaFacultad de CienciasBogotá - ColombiaUniversidad Nacional de Colombia - Sede Bogotá510 - MatemáticasAnálisis multivarianteMultivariate analysisFunctional time seriesControl chartsNonlinear profilesFunctional dataCartas de ControlDatos FuncionalesPerfiles no LinealesSeries de Tiempo FuncionalesMonitoreo de perfiles no lineales con dependencia temporal en fase II desde un enfoque del análisis de datos funcionalesPhase II monitoring of nonlinear profiles with temporal dependece using a functional data analysis approachTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMAlshraideh, H. & Runger, G. 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(1998), “A statistical control chart for stationary process data”, Technometrics 40(1), 24-39.Público generalLICENSElicense.txtlicense.txttext/plain; charset=utf-83964https://repositorio.unal.edu.co/bitstream/unal/80213/1/license.txtcccfe52f796b7c63423298c2d3365fc6MD51ORIGINAL1032470253.2020.pdf1032470253.2020.pdfTesis de Maestría en Ciencias Estadísticaapplication/pdf1250121https://repositorio.unal.edu.co/bitstream/unal/80213/2/1032470253.2020.pdf270cee843a6015e70086d9598768793eMD52THUMBNAIL1032470253.2020.pdf.jpg1032470253.2020.pdf.jpgGenerated Thumbnailimage/jpeg3571https://repositorio.unal.edu.co/bitstream/unal/80213/3/1032470253.2020.pdf.jpg9fc9097c937d493bb87556029223db23MD53unal/80213oai:repositorio.unal.edu.co:unal/802132024-07-29 00:02:52.915Repositorio Institucional Universidad Nacional de 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