The mathematics of compositional analysis
dc.contributor.author
dc.date.accessioned
2016-11-07T08:21:07Z
dc.date.available
2016-11-07T08:21:07Z
dc.date.issued
2016-01-01
dc.identifier.issn
1026-597X
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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.sponsorship
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.mimetype
application/pdf
dc.language.iso
eng
dc.publisher
Austrian Society for Statistics
dc.relation
info:eu-repo/grantAgreement/MINECO//MTM2015-65016-C2-1-R/ES/ANALISIS DE DATOS COMPOSICIONALES Y METODOS RELACIONADOS/
AGAUR/2014-2016/2014 SGR-551
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Reproducció digital del document publicat a: http://dx.doi.org/10.17713/ajs.v45i4.142
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© Austrian Journal of Statistics, 2016, vol. 45, núm. 4, p. 57-71
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Articles publicats (D-IMA)
dc.rights
Attribution 3.0 Spain
dc.rights.uri
dc.subject
dc.title
The mathematics of compositional analysis
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/publishedVersion
dc.identifier.doi
dc.identifier.idgrec
025864
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dc.relation.ProjectAcronym