Please use this identifier to cite or link to this item: https://doi.org/10.1093/biomet/89.1.77
DC FieldValue
dc.titleOn the local geometry of mixture models
dc.contributor.authorMarriott, P.
dc.date.accessioned2014-10-28T05:14:01Z
dc.date.available2014-10-28T05:14:01Z
dc.date.issued2002
dc.identifier.citationMarriott, P. (2002). On the local geometry of mixture models. Biometrika 89 (1) : 77-93. ScholarBank@NUS Repository. https://doi.org/10.1093/biomet/89.1.77
dc.identifier.issn00063444
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/105277
dc.description.abstractDespite the well-known difficulties of undertaking inference with mixture models, they are frequently used for modelling. These inferential problems arise because the underlying geometry of a mixture family is very complicated. This paper shows that by adding a simplifying assumption, which frequently is natural statistically, the geometric structure is reduced to a much more tractable form. This enables standard inferential techniques to be applied successfully. One result of studying the local geometry is that it unifies the convex and differential geometric theories of mixture models. The techniques proposed are applied to prediction, random effects and measurement error models. © 2002 Biometrika Trust.
dc.sourceScopus
dc.subjectConvex geometry
dc.subjectDifferential geometry
dc.subjectMeasurement error
dc.subjectMixture model
dc.subjectPrediction
dc.subjectRandom effects model
dc.subjectStatistical manifold
dc.typeArticle
dc.contributor.departmentSTATISTICS & APPLIED PROBABILITY
dc.description.doi10.1093/biomet/89.1.77
dc.description.sourcetitleBiometrika
dc.description.volume89
dc.description.issue1
dc.description.page77-93
dc.description.codenBIOKA
dc.identifier.isiut000174685600006
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