A preliminary test in classification and probabilities of misclassification

dc.contributor.authorMenendez, M. L.en
dc.contributor.authorPardo, J. A.en
dc.contributor.authorPardo, L.en
dc.contributor.authorZografos, K.en
dc.date.accessioned2015-11-24T17:25:50Z
dc.date.available2015-11-24T17:25:50Z
dc.identifier.issn0233-1888-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13106
dc.rightsDefault Licence-
dc.subjectclassificationen
dc.subjectdiscriminationen
dc.subjectminimum distance classification ruleen
dc.subjectprobabilities of misclassificationen
dc.subjectphi-dissimilarityen
dc.subjectphi-divergenceen
dc.subjectdiscriminant-analysisen
dc.subjectf-dissimilarityen
dc.subjectdistributionsen
dc.subjectaffinityen
dc.titleA preliminary test in classification and probabilities of misclassificationen
heal.abstractConsider f(theta) to be a probability density function with parameter theta. A set of k populations can now be defined such that the ith population Pi(i) is the set of density functions f(theta 1(i)),...,f(theta mi(i)). This paper proposes a test, based on the Psi-dissimilariiy, of the hypothesis that a new individual from a population Pi(0) with a density function f(theta 0), belongs to the ith population. The probabilities of misclassification of the minimum Psi-dissimilarity classification rule are also obtained. In this paper, it is assumed that the parameters theta(1)((i)),...,theta(mi)((i)) and may be theta(0) are unknown and must be estimated from a set of training samples. Explicit expressions for the hypothesis test and the probabilities of misclassification are derived for the case where the populations Pi(i) consist of homoscedastic normal, as well as for gamma distributions.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1080/02331880500097986-
heal.identifier.secondary<Go to ISI>://000229478800001-
heal.journalNameStatisticsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2005-
heal.publisherTaylor & Francisen
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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