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J-GLOBAL ID：200902188410139961   Reference number：00A0968856

Principal Pointsの対称性に関する定理について

Author (3)： SHIMIZU NOBUO (北大 大学院) ,  MIZUTA MASAHIRO (北大 情報メディア教育研総セ) ,  SATO YOSHIHARU (北大 大学院)
Material： 計算機統計学  (Bulletin of the Computational Statistics of Japan)
Volume： 12  Issue： 1  Page： 45-52  Publication year： 1999 
JST Material Number： L1432A  ISSN： 0914-8930  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： *probability distribution ,...
Semi thesaurus term： 1変量分布 ,...

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JST classification (2)： System and control theory in general  (IA02010H) ,  Other methods of operations research  (KA03070E)

Reference (17)：

• CHOW, J. On the uniqueness of best L_2[0,1]approximation by piecewise polynomials with variable breakpoints. Mathematics of Computation. 1982, 39, 571-585
• EUBANK, R. L. Optimal grouping, spacing, stratification, and piecewise constant approximation. SIAM Review. 1988, 30, 3, 404-420
• FLURY, B. A. Principal points. Biometrika. 1990, 77, 1, 1,33-41
• FLURY, B. A. Estimation of principal points. Journal of the Royal Statistical Society. Series C, Applied Statistics. 1993, 42, 1, 139-151
• LI, L. & FLURY, B. Uniqueness of principal points for univariate distributions. Statistics and Probability Letters. 1995, 25, 323-327

Terms in the title (2)： 対称性 ,  定理