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Article: A method for generating uniformly scattered points on the L(p)-norm unit sphere and its applications

TitleA method for generating uniformly scattered points on the L(p)-norm unit sphere and its applications
Authors
Liang, JNg, KW
KeywordsL(p)-Norm Spherical Distribution
L(p)-Norm Uniform Distribution
Stochastic Representation
Uniformly Scattered Points
Issue Date2008
PublisherPhysica-Verlag GmbH und Co. The Journal's web site is located at http://link.springer.de/link/service/journals/00184/index.htm
Citation
Metrika, 2008, v. 68 n. 1, p. 83-98 How to Cite?
DOI: http://dx.doi.org/10.1007/s00184-007-0144-5
AbstractTashiro (Ann Inst Stat Math 29:295-300, 1977) studied methods for generating unform points on the surface of the regular unit sphere. The L p -norm unit sphere is a generalization of the regular unit sphere. In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the L p -norm unit sphere and discuss its applications in statistical simulation, representative points of a wide class of multivariate probability distributions and optimization problems. Some examples are illustrated for these applications. © 2007 Springer-Verlag.
Persistent Identifierhttp://hdl.handle.net/10722/172448
ISSN
0026-1335
2021 Impact Factor: 0.960
2020 SCImago Journal Rankings: 0.728
ISI Accession Number ID
WOS:000256081800006
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLiang, Jen_US
dc.contributor.authorNg, KWen_US
dc.date.accessioned2012-10-30T06:22:34Z-
dc.date.available2012-10-30T06:22:34Z-
dc.date.issued2008en_US
dc.identifier.citationMetrika, 2008, v. 68 n. 1, p. 83-98en_US
dc.identifier.issn0026-1335en_US
dc.identifier.urihttp://hdl.handle.net/10722/172448-
dc.description.abstractTashiro (Ann Inst Stat Math 29:295-300, 1977) studied methods for generating unform points on the surface of the regular unit sphere. The L p -norm unit sphere is a generalization of the regular unit sphere. In this paper we propose a method associated with an algorithm for generating uniformly scattered points on the L p -norm unit sphere and discuss its applications in statistical simulation, representative points of a wide class of multivariate probability distributions and optimization problems. Some examples are illustrated for these applications. © 2007 Springer-Verlag.en_US
dc.languageengen_US
dc.publisherPhysica-Verlag GmbH und Co. The Journal's web site is located at http://link.springer.de/link/service/journals/00184/index.htmen_US
dc.relation.ispartofMetrikaen_US
dc.subjectL(p)-Norm Spherical Distributionen_US
dc.subjectL(p)-Norm Uniform Distributionen_US
dc.subjectStochastic Representationen_US
dc.subjectUniformly Scattered Pointsen_US
dc.titleA method for generating uniformly scattered points on the L(p)-norm unit sphere and its applicationsen_US
dc.typeArticleen_US
dc.identifier.emailNg, KW: kaing@hkucc.hku.hken_US
dc.identifier.authorityNg, KW=rp00765en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s00184-007-0144-5en_US
dc.identifier.scopuseid_2-s2.0-43949104397en_US
dc.identifier.hkuros148969-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-43949104397&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume68en_US
dc.identifier.issue1en_US
dc.identifier.spage83en_US
dc.identifier.epage98en_US
dc.identifier.isiWOS:000256081800006-
dc.publisher.placeGermanyen_US
dc.identifier.scopusauthoridLiang, J=7404541870en_US
dc.identifier.scopusauthoridNg, KW=7403178774en_US
dc.identifier.citeulike2835585-
dc.identifier.issnl0026-1335-

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