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Article: Further properties and new applications of the nested Dirichlet distribution

TitleFurther properties and new applications of the nested Dirichlet distribution
Authors
KeywordsDirichlet distribution
EM algorithm
Missing at random
Nested Dirichlet distribution
Stochastic representation
Issue Date2010
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/csda
Citation
Computational Statistics And Data Analysis, 2010, v. 54 n. 2, p. 394-405 How to Cite?
AbstractRecently, Ng et al. (2009) studied a new family of distributions, namely the nested Dirichlet distributions. This family includes the traditional Dirichlet distribution as a special member and can be adopted to analyze incomplete categorical data. However, other important aspects of the family, such as marginal and conditional distributions and related properties are not yet available in the literature. Moreover, diverse applications of the family to the real world need to be further explored. In this paper, we first obtain the marginal and conditional distributions and other related properties of the nested Dirichlet distribution. We then present new applications of the family in fitting competing-risks model, analyzing incomplete categorical data and evaluating cancer diagnosis tests. Three real data involving failure times of radio transmitter receivers, attitude toward the death penalty and ultrasound ratings for breast cancer metastasis are provided. © 2009 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/65606
ISSN
2015 Impact Factor: 1.179
2015 SCImago Journal Rankings: 1.283
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTian, GLen_HK
dc.contributor.authorTang, MLen_HK
dc.contributor.authorYuen, KCen_HK
dc.contributor.authorNg, KWen_HK
dc.date.accessioned2010-09-03T08:30:28Z-
dc.date.available2010-09-03T08:30:28Z-
dc.date.issued2010en_HK
dc.identifier.citationComputational Statistics And Data Analysis, 2010, v. 54 n. 2, p. 394-405en_HK
dc.identifier.issn0167-9473en_HK
dc.identifier.urihttp://hdl.handle.net/10722/65606-
dc.description.abstractRecently, Ng et al. (2009) studied a new family of distributions, namely the nested Dirichlet distributions. This family includes the traditional Dirichlet distribution as a special member and can be adopted to analyze incomplete categorical data. However, other important aspects of the family, such as marginal and conditional distributions and related properties are not yet available in the literature. Moreover, diverse applications of the family to the real world need to be further explored. In this paper, we first obtain the marginal and conditional distributions and other related properties of the nested Dirichlet distribution. We then present new applications of the family in fitting competing-risks model, analyzing incomplete categorical data and evaluating cancer diagnosis tests. Three real data involving failure times of radio transmitter receivers, attitude toward the death penalty and ultrasound ratings for breast cancer metastasis are provided. © 2009 Elsevier B.V. All rights reserved.en_HK
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/csdaen_HK
dc.relation.ispartofComputational Statistics and Data Analysisen_HK
dc.rightsComputational Statistics & Data Analysis. Copyright © Elsevier BV.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDirichlet distribution-
dc.subjectEM algorithm-
dc.subjectMissing at random-
dc.subjectNested Dirichlet distribution-
dc.subjectStochastic representation-
dc.titleFurther properties and new applications of the nested Dirichlet distributionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0167-9473&volume=54&issue=2&spage=394&epage=405&date=2010&atitle=Further+properties+and+new+applications+for+the+nested+Dirichlet+distribution-
dc.identifier.emailTian, GL: gltian@hku.hken_HK
dc.identifier.emailYuen, KC: kcyuen@hku.hken_HK
dc.identifier.emailNg, KW: kaing@hkucc.hku.hken_HK
dc.identifier.authorityTian, GL=rp00789en_HK
dc.identifier.authorityYuen, KC=rp00836en_HK
dc.identifier.authorityNg, KW=rp00765en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.csda.2009.08.022en_HK
dc.identifier.scopuseid_2-s2.0-70350571187en_HK
dc.identifier.hkuros170597-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-70350571187&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume54en_HK
dc.identifier.issue2en_HK
dc.identifier.spage394en_HK
dc.identifier.epage405en_HK
dc.identifier.isiWOS:000272110900012-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridTian, GL=25621549400en_HK
dc.identifier.scopusauthoridTang, ML=7401974011en_HK
dc.identifier.scopusauthoridYuen, KC=7202333703en_HK
dc.identifier.scopusauthoridNg, KW=7403178774en_HK
dc.identifier.citeulike5736000-

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