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Article: Characterization of distributional forms for compositional data and associated distributional tests

TitleCharacterization of distributional forms for compositional data and associated distributional tests
Authors
KeywordsAngular
Logistic skew-normal distribution
Logistic-normal distribution
Logistic-student distribution
Marginal
Radius tests of normality
Simplicial singular value decomposition
Issue Date2003
PublisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0882-8121
Citation
Mathematical Geology, 2003, v. 35 n. 6, p. 667-680 How to Cite?
AbstractA variety of approaches to the testing of distributional forms for compositional data has appeared in the literature, all based on logratio or Box-Cox transformation techniques and to a degree dependent on the divisor chosen in the formation of ratios for these transformations. This paper, recognizing the special algebraic-geometric structure of the standard simplex sample space for compositional problems, the use of the fundamental simplicial singular value decomposition, and an associated power-perturbation characterization of compositional variability, attempts to provide a definitive approach to such distributional testing problems. Our main consideration is the characterization and testing of additive logistic-normal form, but we also indicate possible applications to logistic skew normal forms once a full range of multivariate tests emerges. The testing strategy is illustrated with both simulated data and applications to some real geological compositional data sets. © 2003 International Association for Mathematical Geology.
Persistent Identifierhttp://hdl.handle.net/10722/82664
ISSN
2009 Impact Factor: 1.048
ISI Accession Number ID
References

 

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dc.contributor.authorAitchison, Jen_HK
dc.contributor.authorMateuFigueras, Gen_HK
dc.contributor.authorNg, KWen_HK
dc.date.accessioned2010-09-06T08:31:59Z-
dc.date.available2010-09-06T08:31:59Z-
dc.date.issued2003en_HK
dc.identifier.citationMathematical Geology, 2003, v. 35 n. 6, p. 667-680en_HK
dc.identifier.issn0882-8121en_HK
dc.identifier.urihttp://hdl.handle.net/10722/82664-
dc.description.abstractA variety of approaches to the testing of distributional forms for compositional data has appeared in the literature, all based on logratio or Box-Cox transformation techniques and to a degree dependent on the divisor chosen in the formation of ratios for these transformations. This paper, recognizing the special algebraic-geometric structure of the standard simplex sample space for compositional problems, the use of the fundamental simplicial singular value decomposition, and an associated power-perturbation characterization of compositional variability, attempts to provide a definitive approach to such distributional testing problems. Our main consideration is the characterization and testing of additive logistic-normal form, but we also indicate possible applications to logistic skew normal forms once a full range of multivariate tests emerges. The testing strategy is illustrated with both simulated data and applications to some real geological compositional data sets. © 2003 International Association for Mathematical Geology.en_HK
dc.languageengen_HK
dc.publisherSpringer Verlag Dordrecht. The Journal's web site is located at http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0882-8121en_HK
dc.relation.ispartofMathematical Geologyen_HK
dc.subjectAngularen_HK
dc.subjectLogistic skew-normal distributionen_HK
dc.subjectLogistic-normal distributionen_HK
dc.subjectLogistic-student distributionen_HK
dc.subjectMarginalen_HK
dc.subjectRadius tests of normalityen_HK
dc.subjectSimplicial singular value decompositionen_HK
dc.titleCharacterization of distributional forms for compositional data and associated distributional testsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0882-8121&volume=35&issue=6&spage=667&epage=680&date=2003&atitle=Characterization+of+distributional+forms+for+compositional+data+and+associated+distributional+testsen_HK
dc.identifier.emailNg, KW: kaing@hkucc.hku.hken_HK
dc.identifier.authorityNg, KW=rp00765en_HK
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dc.identifier.doi10.1023/B:MATG.0000002983.12476.89en_HK
dc.identifier.scopuseid_2-s2.0-4344629393en_HK
dc.identifier.hkuros85376en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4344629393&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume35en_HK
dc.identifier.issue6en_HK
dc.identifier.spage667en_HK
dc.identifier.epage680en_HK
dc.identifier.isiWOS:000186520400002-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridAitchison, J=7102533841en_HK
dc.identifier.scopusauthoridMateuFigueras, G=6506945043en_HK
dc.identifier.scopusauthoridNg, KW=7403178774en_HK

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