Joint modeling of continuous proportions and overdispersed counts

Abstract: In the last few years biotechnolgy offers organic substances, defined as elicitors, which activate plant defenses to warding off atack by pathogens and herbivores. Application of this technology in crops induces a probabilistic defense mechanism whereby occur non identically distributed ve...

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Autores:
Davila Sanabria, Eduardo
Tipo de recurso:
Doctoral thesis
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/55999
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/55999
http://bdigital.unal.edu.co/51553/
Palabra clave:
51 Matemáticas / Mathematics
63 Agricultura y tecnologías relacionadas / Agriculture
Continuous proportions
Overdispersed counts
Plant epidemiology
Copulae
Proporciones continuas
Conteos con sobredispersión
Epidemiología vegetal
Cópulas
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
id UNACIONAL2_1f952c4036a37aa5820ced5cd0af2192
oai_identifier_str oai:repositorio.unal.edu.co:unal/55999
network_acronym_str UNACIONAL2
network_name_str Universidad Nacional de Colombia
repository_id_str
dc.title.spa.fl_str_mv Joint modeling of continuous proportions and overdispersed counts
title Joint modeling of continuous proportions and overdispersed counts
spellingShingle Joint modeling of continuous proportions and overdispersed counts
51 Matemáticas / Mathematics
63 Agricultura y tecnologías relacionadas / Agriculture
Continuous proportions
Overdispersed counts
Plant epidemiology
Copulae
Proporciones continuas
Conteos con sobredispersión
Epidemiología vegetal
Cópulas
title_short Joint modeling of continuous proportions and overdispersed counts
title_full Joint modeling of continuous proportions and overdispersed counts
title_fullStr Joint modeling of continuous proportions and overdispersed counts
title_full_unstemmed Joint modeling of continuous proportions and overdispersed counts
title_sort Joint modeling of continuous proportions and overdispersed counts
dc.creator.fl_str_mv Davila Sanabria, Eduardo
dc.contributor.author.spa.fl_str_mv Davila Sanabria, Eduardo
dc.contributor.spa.fl_str_mv López Pérez, Luis Alberto
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
63 Agricultura y tecnologías relacionadas / Agriculture
topic 51 Matemáticas / Mathematics
63 Agricultura y tecnologías relacionadas / Agriculture
Continuous proportions
Overdispersed counts
Plant epidemiology
Copulae
Proporciones continuas
Conteos con sobredispersión
Epidemiología vegetal
Cópulas
dc.subject.proposal.spa.fl_str_mv Continuous proportions
Overdispersed counts
Plant epidemiology
Copulae
Proporciones continuas
Conteos con sobredispersión
Epidemiología vegetal
Cópulas
description Abstract: In the last few years biotechnolgy offers organic substances, defined as elicitors, which activate plant defenses to warding off atack by pathogens and herbivores. Application of this technology in crops induces a probabilistic defense mechanism whereby occur non identically distributed vector of bivariate data, which comprises both continuous proportions and overdispersed counts, where independence assumption cannot be hold. Hence, the goal of this work has been the joint modeling of continuous proportions and overdispersed counts, under the scientific context of induced resistance in plant protection. Theoretical framework was structured by one-par´ameter Clayton (CRM) and by two-par´ameter Joe and Hu (BB1) copulae, with Simplex and Generalized Poisson marginal distributions. Parameter estimations were done by Gauss-Newton type algorithm, variances by Jacknife and model selection by cross validation criterion. The theory was validated with experimental data on a roses crop exposed to an epidemiological complex plant:pathogen:herbivore, and with simulated data by computer as well. It concluded that, unlike classical analysis by Box and Cox adjusted normality and negative binomial, the constructed families of distributions capture the functional shape of bivariate relationship, the degree of dependence and marginal asymmetry, with easy to interpret parametrization and efficient estimators, according to the present study.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-12-16
dc.date.accessioned.spa.fl_str_mv 2019-07-02T11:34:45Z
dc.date.available.spa.fl_str_mv 2019-07-02T11:34:45Z
dc.type.spa.fl_str_mv Trabajo de grado - Doctorado
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/doctoralThesis
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/acceptedVersion
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_db06
dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_db06
status_str acceptedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/55999
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/51553/
url https://repositorio.unal.edu.co/handle/unal/55999
http://bdigital.unal.edu.co/51553/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Estadística
Departamento de Estadística
dc.relation.references.spa.fl_str_mv Davila Sanabria, Eduardo (2015) Joint modeling of continuous proportions and overdispersed counts. Doctorado thesis, Universidad Nacional de Colombia-Bogotaá.
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
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/55999/1/Thesis.pdf
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bitstream.checksum.fl_str_mv 806b1124bacd5aea0e8dcd58df99f87b
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
repository.mail.fl_str_mv repositorio_nal@unal.edu.co
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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_abf2López Pérez, Luis AlbertoDavila Sanabria, Eduardod97d4a54-ca94-4587-a935-76cb0a2dbd223002019-07-02T11:34:45Z2019-07-02T11:34:45Z2015-12-16https://repositorio.unal.edu.co/handle/unal/55999http://bdigital.unal.edu.co/51553/Abstract: In the last few years biotechnolgy offers organic substances, defined as elicitors, which activate plant defenses to warding off atack by pathogens and herbivores. Application of this technology in crops induces a probabilistic defense mechanism whereby occur non identically distributed vector of bivariate data, which comprises both continuous proportions and overdispersed counts, where independence assumption cannot be hold. Hence, the goal of this work has been the joint modeling of continuous proportions and overdispersed counts, under the scientific context of induced resistance in plant protection. Theoretical framework was structured by one-par´ameter Clayton (CRM) and by two-par´ameter Joe and Hu (BB1) copulae, with Simplex and Generalized Poisson marginal distributions. Parameter estimations were done by Gauss-Newton type algorithm, variances by Jacknife and model selection by cross validation criterion. The theory was validated with experimental data on a roses crop exposed to an epidemiological complex plant:pathogen:herbivore, and with simulated data by computer as well. It concluded that, unlike classical analysis by Box and Cox adjusted normality and negative binomial, the constructed families of distributions capture the functional shape of bivariate relationship, the degree of dependence and marginal asymmetry, with easy to interpret parametrization and efficient estimators, according to the present study.En los años recientes la biotecnología ofrece sustancias orgánicas, definidas como elicitores, que activan defensas contra enfermedades y herbívoros en las plantas. La aplicación de esta tecnología en los cultivos induce un mecanismo probabilístico de defensa que genera un vector de datos bivariados no idénticamente distribuidos, conformado por proporciones continuas y conteos con sobredispersi´on, donde el supuesto de independencia no puede garantizarse. Entonces, el objetivo de este trabajo ha sido el modelamiento conjunto de proporciones continuas y conteos con sobredispersi´on, bajo el contexto cient´ıfico de la resistencia inducida en la protecci´on vegetal. El marco te´orico se estructur´o sobre las familias de c´opulas Clayton de un par´ametro (CRM) y la clase de Joe y Hu de dos par´ametros (BB1), con distribuciones marginales Simplex y Poisson Generalizada. La estimaci´on de par´ametros se hizo por el m´etodo tipo Gauss-Newton, la de las varianzas por Jacknife y la selecci´on de modelos por el criterio validaci´on cruzada. La teor´ıa se valid´o tanto con datos generados por dise˜no experimental en un cultivo de rosa sometido a un complejo epidemiol´ogico planta:pat´ogeno:herb´ıvoro, como con datos simulados por computador. Se concluye que, a diferencia de los an´alisis cl´asicos bajo normalidad ajustada por Box and Cox y binomial negativa, las familias de distribuciones construidas captan la forma funcional de la relaci´on bivariada, el nivel de dependencia y la asimetr´ıa marginal, con parametrizaci´on de f´acil interpretaci´on y estimadores m´as eficientes, de acuerdo al presente estudio.Doctoradoapplication/pdfspaUniversidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de EstadísticaDepartamento de EstadísticaDavila Sanabria, Eduardo (2015) Joint modeling of continuous proportions and overdispersed counts. Doctorado thesis, Universidad Nacional de Colombia-Bogotaá.51 Matemáticas / Mathematics63 Agricultura y tecnologías relacionadas / AgricultureContinuous proportionsOverdispersed countsPlant epidemiologyCopulaeProporciones continuasConteos con sobredispersiónEpidemiología vegetalCópulasJoint modeling of continuous proportions and overdispersed countsTrabajo de grado - Doctoradoinfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_db06Texthttp://purl.org/redcol/resource_type/TDORIGINALThesis.pdfapplication/pdf15376694https://repositorio.unal.edu.co/bitstream/unal/55999/1/Thesis.pdf806b1124bacd5aea0e8dcd58df99f87bMD51THUMBNAILThesis.pdf.jpgThesis.pdf.jpgGenerated Thumbnailimage/jpeg3811https://repositorio.unal.edu.co/bitstream/unal/55999/2/Thesis.pdf.jpg75e58727e2e0bd07215e502900703569MD52unal/55999oai:repositorio.unal.edu.co:unal/559992024-03-20 23:11:40.938Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co

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