Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions

Goodness-of-fit (GOF) techniques are used for assessment whether a distribution is suitable to describe a data set or not. These techniques have been studied for distributions belonging to the location-scale family. However, one could be interested in making this assessment for distributions that do...

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Autores:
Castro-Kuriss, Claudia
Leiva, Víctor
Athayde, Emilia
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66559
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66559
http://bdigital.unal.edu.co/67587/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Censored Data
Confidence Band
Data Analysis
Probability Plots
Análisis de datos
Bandas de confianza
Datos censurados
Gráficos de probabilidad.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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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_abf2Castro-Kuriss, Claudiaada1f191-6276-4df6-886b-091222873f0b300Leiva, Víctor8dc4aa79-15b4-4044-b524-54da08567f49300Athayde, Emiliaa8a7f44d-e293-48f8-b6fa-dfd5b5e251233002019-07-03T02:22:19Z2019-07-03T02:22:19Z2014-07-01ISSN: 2389-8976https://repositorio.unal.edu.co/handle/unal/66559http://bdigital.unal.edu.co/67587/Goodness-of-fit (GOF) techniques are used for assessment whether a distribution is suitable to describe a data set or not. These techniques have been studied for distributions belonging to the location-scale family. However, one could be interested in making this assessment for distributions that do not belong to this family. We review the available GOF tests and propose graphical tools based on these tests for censored and uncensored data from non-location-scale distributions. Anderson-Darling, Cramér-von Mises, Kolmogorov-Smirnov, Kuiper, Michael and Watson GOF statistics are considered. We apply the proposed results to real-world data sets to illustrate their potential, with emphasis on some Birnbaum-Saunders distributions.Las técnicas de bondad de ajuste se usan para establecer si una distribución es apropiada o no para describir un conjunto de datos. Estas técnicas han sido estudiadas para distribuciones pertenecientes a la familia de locación y escala. Sin embargo, podríamos también estar interesados en establecer si una distribución que no pertenece a esta familia brinda un buen ajuste a los datos. Revisamos los tests de bondad de ajuste disponibles y proponemos herramientas gráficas basadas en estos tests para datos completos y censurados desde distribuciones de no locación y escala. Consideramos los estadísticos de Anderson-Darling, Cramér-von Mises, Kolmogorov-Smirnov, Kuiper, Michael y Watson. Aplicamos los resultados propuestos a conjuntos de datos reales para ilustrar su potencial, particularmente en algunas distribuciones Birnbaum-Saundersapplication/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Estadísticahttps://revistas.unal.edu.co/index.php/estad/article/view/47941Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de EstadísticaRevista Colombiana de EstadísticaCastro-Kuriss, Claudia and Leiva, Víctor and Athayde, Emilia (2014) Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions. Revista Colombiana de Estadística, 37 (2Spe). pp. 341-365. ISSN 2389-897651 Matemáticas / Mathematics31 Colecciones de estadística general / StatisticsCensored DataConfidence BandData AnalysisProbability PlotsAnálisis de datosBandas de confianzaDatos censuradosGráficos de probabilidad.Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale DistributionsArtículo 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/ARTORIGINAL47941-237489-1-PB.pdfapplication/pdf1027439https://repositorio.unal.edu.co/bitstream/unal/66559/1/47941-237489-1-PB.pdf6f48da1a838cf71daae9dd167953d675MD51THUMBNAIL47941-237489-1-PB.pdf.jpg47941-237489-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5416https://repositorio.unal.edu.co/bitstream/unal/66559/2/47941-237489-1-PB.pdf.jpg448b46e642026d249cb8c52f2958bf13MD52unal/66559oai:repositorio.unal.edu.co:unal/665592024-05-16 23:09:47.542Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
title Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
spellingShingle Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Censored Data
Confidence Band
Data Analysis
Probability Plots
Análisis de datos
Bandas de confianza
Datos censurados
Gráficos de probabilidad.
title_short Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
title_full Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
title_fullStr Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
title_full_unstemmed Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
title_sort Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions
dc.creator.fl_str_mv Castro-Kuriss, Claudia
Leiva, Víctor
Athayde, Emilia
dc.contributor.author.spa.fl_str_mv Castro-Kuriss, Claudia
Leiva, Víctor
Athayde, Emilia
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
Censored Data
Confidence Band
Data Analysis
Probability Plots
Análisis de datos
Bandas de confianza
Datos censurados
Gráficos de probabilidad.
dc.subject.proposal.spa.fl_str_mv Censored Data
Confidence Band
Data Analysis
Probability Plots
Análisis de datos
Bandas de confianza
Datos censurados
Gráficos de probabilidad.
description Goodness-of-fit (GOF) techniques are used for assessment whether a distribution is suitable to describe a data set or not. These techniques have been studied for distributions belonging to the location-scale family. However, one could be interested in making this assessment for distributions that do not belong to this family. We review the available GOF tests and propose graphical tools based on these tests for censored and uncensored data from non-location-scale distributions. Anderson-Darling, Cramér-von Mises, Kolmogorov-Smirnov, Kuiper, Michael and Watson GOF statistics are considered. We apply the proposed results to real-world data sets to illustrate their potential, with emphasis on some Birnbaum-Saunders distributions.
publishDate 2014
dc.date.issued.spa.fl_str_mv 2014-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:22:19Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:22:19Z
dc.type.spa.fl_str_mv Artículo de revista
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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/66559
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/67587/
identifier_str_mv ISSN: 2389-8976
url https://repositorio.unal.edu.co/handle/unal/66559
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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/47941
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 Castro-Kuriss, Claudia and Leiva, Víctor and Athayde, Emilia (2014) Graphical Tools to Assess Goodness-of-Fit in Non-Location-Scale Distributions. Revista Colombiana de Estadística, 37 (2Spe). pp. 341-365. 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
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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
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