Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution

The problem of estimation reliability in a multicomponent stress-strength model, when the system consists of k components have strength each compo- nent experiencing a random stress, is considered in this paper. The reliability of such a system is obtained when strength and stress variables are give...

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Autores:
Khalil, Marwa
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66505
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66505
http://bdigital.unal.edu.co/67533/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bayes Estimator
Lindley Distribution
Maximum Likelihood Estimator
Order Statistics
Stress-Strength Model
Uniformly Minimum Variance Unbiased Estimator
Distribución de Lindley
estadísticas de orden
estimador de Bayes
estimador insesgado de varianza uniformemente mínima
estimador insesgado de varianza mínima
modelo de estrés-fuerza
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_b82ea3326d1ec303d8ca8aeb254fe623
oai_identifier_str oai:repositorio.unal.edu.co:unal/66505
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
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_abf2Khalil, Marwae2949827-04cf-4474-a509-9efea0d596a63002019-07-03T02:15:40Z2019-07-03T02:15:40Z2017-01-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66505http://bdigital.unal.edu.co/67533/The problem of estimation reliability in a multicomponent stress-strength model, when the system consists of k components have strength each compo- nent experiencing a random stress, is considered in this paper. The reliability of such a system is obtained when strength and stress variables are given by Lindley distribution. The system is regarded as alive only if at least r out of k (r k) strength exceeds the stress. The multicomponent reliability of the system is given by Rr,k . The maximum likelihood estimator (M LE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of Rr,k are obtained. A simulation study is performed to compare the different estimators of Rr,k . Real data is used as a practical application of the proposed model.El problema de la fiabilidad de estimación en el modelo de estrés-fuerza multicomponente, cuando el sistema consta de componentes k tiene fuerza, cada componente experimentando un estrés al azar se considera en este documento. Se obtiene la fiabilidad de estos sistemas cuando las variables de fuerza y tensión están dadas por la distribución Lindley. El sistema es considerado como vivo solo si al menos r de k(r k) fuerzas superan el estrés. La fiabilidad de varios componentes del sistema viene dado por Rr;k. El estimador de máxima verosimilitud (MLE), se obtienen estimadores insesgados de varianza uniformemente mínima (UMVUE) y el estimador de Bayes Rr;k. Se realizó un estudio de simulación para comparar los diferentes estimadores de Rr;k. Se utilizaron datos reales como aplicación práctica para el modelo propuesto.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/54349Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaKhalil, Marwa (2017) Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution. Revista Colombiana de Estadística, 40 (1). pp. 105-121. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsBayes EstimatorLindley DistributionMaximum Likelihood EstimatorOrder StatisticsStress-Strength ModelUniformly Minimum Variance Unbiased EstimatorDistribución de Lindleyestadísticas de ordenestimador de Bayesestimador insesgado de varianza uniformemente mínimaestimador insesgado de varianza mínimamodelo de estrés-fuerzaEstimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley DistributionArtículo 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/ARTORIGINAL54349-314847-1-PB.pdfapplication/pdf693463https://repositorio.unal.edu.co/bitstream/unal/66505/1/54349-314847-1-PB.pdfaeb75a2eeaa3a290b8503a45c0fe246fMD51THUMBNAIL54349-314847-1-PB.pdf.jpg54349-314847-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5419https://repositorio.unal.edu.co/bitstream/unal/66505/2/54349-314847-1-PB.pdf.jpg89106b5b980f6f5af28adc8d2d644446MD52unal/66505oai:repositorio.unal.edu.co:unal/665052023-05-25 23:03:01.95Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
title Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
spellingShingle Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bayes Estimator
Lindley Distribution
Maximum Likelihood Estimator
Order Statistics
Stress-Strength Model
Uniformly Minimum Variance Unbiased Estimator
Distribución de Lindley
estadísticas de orden
estimador de Bayes
estimador insesgado de varianza uniformemente mínima
estimador insesgado de varianza mínima
modelo de estrés-fuerza
title_short Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
title_full Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
title_fullStr Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
title_full_unstemmed Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
title_sort Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution
dc.creator.fl_str_mv Khalil, Marwa
dc.contributor.author.spa.fl_str_mv Khalil, Marwa
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
Bayes Estimator
Lindley Distribution
Maximum Likelihood Estimator
Order Statistics
Stress-Strength Model
Uniformly Minimum Variance Unbiased Estimator
Distribución de Lindley
estadísticas de orden
estimador de Bayes
estimador insesgado de varianza uniformemente mínima
estimador insesgado de varianza mínima
modelo de estrés-fuerza
dc.subject.proposal.spa.fl_str_mv Bayes Estimator
Lindley Distribution
Maximum Likelihood Estimator
Order Statistics
Stress-Strength Model
Uniformly Minimum Variance Unbiased Estimator
Distribución de Lindley
estadísticas de orden
estimador de Bayes
estimador insesgado de varianza uniformemente mínima
estimador insesgado de varianza mínima
modelo de estrés-fuerza
description The problem of estimation reliability in a multicomponent stress-strength model, when the system consists of k components have strength each compo- nent experiencing a random stress, is considered in this paper. The reliability of such a system is obtained when strength and stress variables are given by Lindley distribution. The system is regarded as alive only if at least r out of k (r k) strength exceeds the stress. The multicomponent reliability of the system is given by Rr,k . The maximum likelihood estimator (M LE), uniformly minimum variance unbiased estimator (UMVUE) and Bayes esti- mator of Rr,k are obtained. A simulation study is performed to compare the different estimators of Rr,k . Real data is used as a practical application of the proposed model.
publishDate 2017
dc.date.issued.spa.fl_str_mv 2017-01-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:15:40Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:15:40Z
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
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dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
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/66505
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67533/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66505
http://bdigital.unal.edu.co/67533/
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/54349
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 Khalil, Marwa (2017) Estimation a Stress-Strength Model for P (Yr:n1 Xk:n2 ) Using the Lindley Distribution. Revista Colombiana de Estadística, 40 (1). pp. 105-121. 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/66505/1/54349-314847-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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