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Article: Convex linear combinations of compositions
Title | Convex linear combinations of compositions |
---|---|
Authors | |
Keywords | Dirichlet Distribution End-Member Problem Lattice Testing Of Hypotheses Logistic Normal Distribution Mixing Of Compositions Multivariate Skew Normal Distribution |
Issue Date | 1999 |
Publisher | Oxford 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? |
Abstract | When 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 Identifier | http://hdl.handle.net/10722/178092 |
ISSN | 2021 Impact Factor: 3.028 2020 SCImago Journal Rankings: 3.307 |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aitchison, J | en_US |
dc.contributor.author | BaconShone, J | en_US |
dc.date.accessioned | 2012-12-19T09:42:27Z | - |
dc.date.available | 2012-12-19T09:42:27Z | - |
dc.date.issued | 1999 | en_US |
dc.identifier.citation | Biometrika, 1999, v. 86 n. 2, p. 351-364 | en_US |
dc.identifier.issn | 0006-3444 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/178092 | - |
dc.description.abstract | When 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.language | eng | en_US |
dc.publisher | Oxford University Press. The Journal's web site is located at http://biomet.oxfordjournals.org/ | en_US |
dc.relation.ispartof | Biometrika | en_US |
dc.subject | Dirichlet Distribution | en_US |
dc.subject | End-Member Problem | en_US |
dc.subject | Lattice Testing Of Hypotheses | en_US |
dc.subject | Logistic Normal Distribution | en_US |
dc.subject | Mixing Of Compositions | en_US |
dc.subject | Multivariate Skew Normal Distribution | en_US |
dc.title | Convex linear combinations of compositions | en_US |
dc.type | Article | en_US |
dc.identifier.email | BaconShone, J: johnbs@hku.hk | en_US |
dc.identifier.authority | BaconShone, J=rp00056 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0004437577 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0004437577&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 86 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 351 | en_US |
dc.identifier.epage | 364 | en_US |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Aitchison, J=7102533841 | en_US |
dc.identifier.scopusauthorid | BaconShone, J=6602137416 | en_US |
dc.identifier.issnl | 0006-3444 | - |