dc.contributor
Ministerio de Economía y Competitividad (Espanya)
dc.contributor
Generalitat de Catalunya. Agència de Gestió d'Ajuts Universitaris i de Recerca
dc.contributor.author
Barceló i Vidal, Carles
dc.contributor.author
Martín Fernández, Josep Antoni
dc.date.accessioned
2024-06-18T12:16:40Z
dc.date.available
2024-06-18T12:16:40Z
dc.date.issued
2016-01-01
dc.identifier
http://hdl.handle.net/10256/13052
dc.identifier.uri
https://hdl.handle.net/10256/13052
dc.description.abstract
The term compositional data analysis is historically associated to the approach based on the logratio transformations introduced in the eighties. Two main principles of this methodology are scale invariance and subcompositional coherence. New developments and concepts emerged in the last decade revealed the need to clarify the concepts of compositions, compositional sample space and subcomposition. In this work the mathematics of compositional analysis based on equivalence relation is presented. A logarithmic isomorphism between quotient spaces induces a metric space structure for compositions. The logratio compositional analysis is the statistical analysis of compositions based on this structure, consisting of analysing logratio coordinates
dc.description.abstract
This work has been partially nanced by the Ministerio de Econom a y Competitividad
(Ref: MTM2015-65016-C2-1-R) and the Ag encia de Gesti o d'Ajuts Universitaris i de Re-
cerca (AGAUR), Generalitat de Catalunya (Ref: 2014 SGR 551)
dc.format
application/pdf
dc.publisher
Austrian Society for Statistics
dc.relation
info:eu-repo/semantics/altIdentifier/doi/10.17713/ajs.v45i4.142
dc.relation
info:eu-repo/semantics/altIdentifier/issn/1026-597X
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2015-65016-C2-1-R/ES/ANALISIS DE DATOS COMPOSICIONALES Y METODOS RELACIONADOS/
dc.relation
AGAUR/2014-2016/2014 SGR-551
dc.rights
Attribution 3.0 Spain
dc.rights
http://creativecommons.org/licenses/by/3.0/es/
dc.rights
info:eu-repo/semantics/openAccess
dc.source
© Austrian Journal of Statistics, 2016, vol. 45, núm. 4, p. 57-71
dc.source
Articles publicats (D-IMA)
dc.subject
Anàlisi multivariable
dc.subject
Multivariate analysis
dc.subject
Estadística matemàtica
dc.subject
Mathematical statistics
dc.title
The mathematics of compositional analysis
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion
