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TitleApplications of number-theoretic methods to quantizers of elliptically contoured distributions
Creator
Date Issued1994
Conference NameInternational Symposium on Multivariate Analysis and Its Applications
Source PublicationMultivariate Analysis and Its Applications
EditorAnderson, T. W.; Fang, Kaitai; Olkin, I.
ISBN0940600358
Pages237-251
Conference DateMarch 16-18, 1992
Conference PlaceHong Kong, China
Publication PlaceHayward, California, USA
PublisherInstitute of Mathematical Statistics
Abstract

In this paper we combine the so-called LBG algorithm in vector quantization and the number-theoretic methods to propose a new algorithm, NTLBG, of generating vector quantizer with low mean square error for many classes of multivariate distributions including one of the elliptically contoured distributions. Some numerical examples show that the present method is effective.

Keywordelliptically contoured distribution number-theoretic method quantizer quasirandom number F-discrepency mean square error
Indexed BySCIE
Language英语English
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Statistics & Probability
WOS IDWOS:A1994BE60Y00018
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document TypeConference paper
Identifierhttp://repository.uic.edu.cn/handle/39GCC9TT/5682
CollectionResearch outside affiliated institution
Affiliation
1.Department of Mathematics, Hong Kong Baptist College, 224 Waterloo Road, Kowloon, Hong Kong
2.Department of Mathematics, University of California, Los Angeles, CA 90024-1563, USA
3.Department of Psychology, University of California, Los Angeles, CA 90024-1563, USA
Recommended Citation
GB/T 7714
Fang, Kaitai,Yuan, Kehai,Bentler, Peter M. Applications of number-theoretic methods to quantizers of elliptically contoured distributions[C]//Anderson, T. W.; Fang, Kaitai; Olkin, I. Hayward, California, USA: Institute of Mathematical Statistics, 1994: 237-251.
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