Modelling count data using the logratio-normal-multinomial distribution

The logratio-normal-multinomial distribution is a count data model resulting from compounding a multinomial distribution for the counts with a multivariate logratio-normal distribution for the multinomial event probabilities. However, the logratio-normal-multinomial probability mass function does no...

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Autores: Comas-Cufí, Marc|||0000-0001-9759-0622, Martín-Fernández, Josep-Antoni|||0000-0003-2366-1592, Mateu-Figueras, Glòria|||0000-0002-2477-2764, Palarea-Albaladejo, Javier|||0000-0003-0162-669X
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:225688
Acceso en línea:https://ddd.uab.cat/record/225688
https://dx.doi.org/urn:doi:10.2436/20.8080.02.96
Access Level:acceso abierto
Palabra clave:Count data
Compound probability distribution
Dirichlet multinomial
Logratio coordinates
Monte carlo method
Simplex
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spelling Modelling count data using the logratio-normal-multinomial distributionComas-Cufí, Marc|||0000-0001-9759-0622Martín-Fernández, Josep-Antoni|||0000-0003-2366-1592Mateu-Figueras, Glòria|||0000-0002-2477-2764Palarea-Albaladejo, Javier|||0000-0003-0162-669XCount dataCompound probability distributionDirichlet multinomialLogratio coordinatesMonte carlo methodSimplexThe logratio-normal-multinomial distribution is a count data model resulting from compounding a multinomial distribution for the counts with a multivariate logratio-normal distribution for the multinomial event probabilities. However, the logratio-normal-multinomial probability mass function does not admit a closed form expression and, consequently, numerical approximation is required for parameter estimation. In this work, different estimation approaches are introduced and evaluated. We concluded that estimation based on a quasi-Monte Carlo Expectation-Maximisation algorithm provides the best overall results. Building on this, the performances of the Dirichlet-multinomial and logratio-normal-multinomial models are compared through a number of examples using simulated and real count data. 22020-01-0120202020-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/225688https://dx.doi.org/urn:doi:10.2436/20.8080.02.96reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2256882026-06-06T12:50:31Z
dc.title.none.fl_str_mv Modelling count data using the logratio-normal-multinomial distribution
title Modelling count data using the logratio-normal-multinomial distribution
spellingShingle Modelling count data using the logratio-normal-multinomial distribution
Comas-Cufí, Marc|||0000-0001-9759-0622
Count data
Compound probability distribution
Dirichlet multinomial
Logratio coordinates
Monte carlo method
Simplex
title_short Modelling count data using the logratio-normal-multinomial distribution
title_full Modelling count data using the logratio-normal-multinomial distribution
title_fullStr Modelling count data using the logratio-normal-multinomial distribution
title_full_unstemmed Modelling count data using the logratio-normal-multinomial distribution
title_sort Modelling count data using the logratio-normal-multinomial distribution
dc.creator.none.fl_str_mv Comas-Cufí, Marc|||0000-0001-9759-0622
Martín-Fernández, Josep-Antoni|||0000-0003-2366-1592
Mateu-Figueras, Glòria|||0000-0002-2477-2764
Palarea-Albaladejo, Javier|||0000-0003-0162-669X
author Comas-Cufí, Marc|||0000-0001-9759-0622
author_facet Comas-Cufí, Marc|||0000-0001-9759-0622
Martín-Fernández, Josep-Antoni|||0000-0003-2366-1592
Mateu-Figueras, Glòria|||0000-0002-2477-2764
Palarea-Albaladejo, Javier|||0000-0003-0162-669X
author_role author
author2 Martín-Fernández, Josep-Antoni|||0000-0003-2366-1592
Mateu-Figueras, Glòria|||0000-0002-2477-2764
Palarea-Albaladejo, Javier|||0000-0003-0162-669X
author2_role author
author
author
dc.subject.none.fl_str_mv Count data
Compound probability distribution
Dirichlet multinomial
Logratio coordinates
Monte carlo method
Simplex
topic Count data
Compound probability distribution
Dirichlet multinomial
Logratio coordinates
Monte carlo method
Simplex
description The logratio-normal-multinomial distribution is a count data model resulting from compounding a multinomial distribution for the counts with a multivariate logratio-normal distribution for the multinomial event probabilities. However, the logratio-normal-multinomial probability mass function does not admit a closed form expression and, consequently, numerical approximation is required for parameter estimation. In this work, different estimation approaches are introduced and evaluated. We concluded that estimation based on a quasi-Monte Carlo Expectation-Maximisation algorithm provides the best overall results. Building on this, the performances of the Dirichlet-multinomial and logratio-normal-multinomial models are compared through a number of examples using simulated and real count data.
publishDate 2020
dc.date.none.fl_str_mv 2
2020-01-01
2020
2020-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/225688
https://dx.doi.org/urn:doi:10.2436/20.8080.02.96
url https://ddd.uab.cat/record/225688
https://dx.doi.org/urn:doi:10.2436/20.8080.02.96
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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