Title | Applications of number-theoretic methods to quantizers of elliptically contoured distributions |
Creator | |
Date Issued | 1994 |
Conference Name | International Symposium on Multivariate Analysis and Its Applications |
Source Publication | Multivariate Analysis and Its Applications
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Editor | Anderson, T. W.; Fang, Kaitai; Olkin, I. |
ISBN | 0940600358 |
Pages | 237-251 |
Conference Date | March 16-18, 1992 |
Conference Place | Hong Kong, China |
Publication Place | Hayward, California, USA |
Publisher | Institute 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. |
Keyword | elliptically contoured distribution number-theoretic method quantizer quasirandom number F-discrepency mean square error |
Indexed By | SCIE |
Language | 英语English |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied ; Statistics & Probability |
WOS ID | WOS:A1994BE60Y00018 |
Citation statistics | |
Document Type | Conference paper |
Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/5682 |
Collection | Research 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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