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Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/4771
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dc.contributor.authorEllem, Bernarden
dc.contributor.authorThomas, Kylieen
dc.date.accessioned2010-02-24T15:51:00Z-
dc.date.issued2005-
dc.identifier.urihttps://hdl.handle.net/1959.11/4771-
dc.description.abstractThis report presents a novel method of teaching curvature measures via simple 2D examples using the elementary formulae for curvature encountered by undergraduate students. Using this procedure students can verify algebraically and numerically the invariance of intrinsic curvature and corroborate the best parameterisation by examination of parameter effects curvature, again mathematically and empirically. For serious users of curvature measures, this elementary exposition also reconciles the general definition of 'statistical curvature' coined by Efron (1975), with the approach of Amari (1990), albeit for the exponential connection only.en
dc.languageenen
dc.publisherUniversity of New England, School of Mathematics, Statistics and Computer Scienceen
dc.relation.ispartofseriesResearch and Technical Reportsen
dc.titleStatistical Curvature in Two Dimensions: A Teaching Applicationen
dc.typeReporten
dc.subject.keywordsStatisticsen
local.contributor.firstnameBernarden
local.contributor.firstnameKylieen
local.subject.for2008010499 Statistics not elsewhere classifieden
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolAdministrationen
local.profile.emailbellem2@une.edu.auen
local.output.categoryR1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordpes:5194en
local.publisher.placeArmidale, Australiaen
local.title.subtitleA Teaching Applicationen
local.contributor.lastnameEllemen
local.contributor.lastnameThomasen
dc.identifier.staffune-id:bellem2en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:4887en
local.identifier.handlehttps://hdl.handle.net/1959.11/4771en
dc.identifier.academiclevelAcademicen
dc.identifier.academiclevelAcademicen
local.title.maintitleStatistical Curvature in Two Dimensionsen
local.output.categorydescriptionR1 Reporten
local.search.authorEllem, Bernarden
local.search.authorThomas, Kylieen
local.uneassociationUnknownen
local.year.published2005en
local.output.classReporten
local.output.classR1 Contract Reporten
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