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Article: Convex linear combinations of compositions

TitleConvex linear combinations of compositions
Authors
KeywordsDirichlet Distribution
End-Member Problem
Lattice Testing Of Hypotheses
Logistic Normal Distribution
Mixing Of Compositions
Multivariate Skew Normal Distribution
Issue Date1999
PublisherOxford University Press. The Journal's web site is located at http://biomet.oxfordjournals.org/
Citation
Biometrika, 1999, v. 86 n. 2, p. 351-364 How to Cite?
AbstractWhen a sampled target composition is suspected of being a mixture of different compositions from a number of independent sources the question of the nature of the mixing mechanism arises. For the resolution of this question several models involving convex linear mixtures of compositions are considered and in particular the distributional problem of describing the pattern of variability of the target compositions, given information about the source distributions, is resolved in terms of approximations involving logistic normal and logistic skew normal distributions. The quality of these approximations is shown to be satisfactory through a series of simulations briefly reported. The modelling and subsequent statistical inference are motivated by an illustrative application to investigating the nature of pollution at three fishing locations in a Scottish loch. © 1999 Biometrika Trust.
Persistent Identifierhttp://hdl.handle.net/10722/178092
ISSN
2015 Impact Factor: 1.13
2015 SCImago Journal Rankings: 2.801
References

 

DC FieldValueLanguage
dc.contributor.authorAitchison, Jen_US
dc.contributor.authorBaconShone, Jen_US
dc.date.accessioned2012-12-19T09:42:27Z-
dc.date.available2012-12-19T09:42:27Z-
dc.date.issued1999en_US
dc.identifier.citationBiometrika, 1999, v. 86 n. 2, p. 351-364en_US
dc.identifier.issn0006-3444en_US
dc.identifier.urihttp://hdl.handle.net/10722/178092-
dc.description.abstractWhen a sampled target composition is suspected of being a mixture of different compositions from a number of independent sources the question of the nature of the mixing mechanism arises. For the resolution of this question several models involving convex linear mixtures of compositions are considered and in particular the distributional problem of describing the pattern of variability of the target compositions, given information about the source distributions, is resolved in terms of approximations involving logistic normal and logistic skew normal distributions. The quality of these approximations is shown to be satisfactory through a series of simulations briefly reported. The modelling and subsequent statistical inference are motivated by an illustrative application to investigating the nature of pollution at three fishing locations in a Scottish loch. © 1999 Biometrika Trust.en_US
dc.languageengen_US
dc.publisherOxford University Press. The Journal's web site is located at http://biomet.oxfordjournals.org/en_US
dc.relation.ispartofBiometrikaen_US
dc.subjectDirichlet Distributionen_US
dc.subjectEnd-Member Problemen_US
dc.subjectLattice Testing Of Hypothesesen_US
dc.subjectLogistic Normal Distributionen_US
dc.subjectMixing Of Compositionsen_US
dc.subjectMultivariate Skew Normal Distributionen_US
dc.titleConvex linear combinations of compositionsen_US
dc.typeArticleen_US
dc.identifier.emailBaconShone, J: johnbs@hku.hken_US
dc.identifier.authorityBaconShone, J=rp00056en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0004437577en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0004437577&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume86en_US
dc.identifier.issue2en_US
dc.identifier.spage351en_US
dc.identifier.epage364en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridAitchison, J=7102533841en_US
dc.identifier.scopusauthoridBaconShone, J=6602137416en_US

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