Impartial trimmed k-means for functional data

被引:50
作者
Cuesta-Albertos, Juan Antonio
Fraiman, Ricardo
机构
[1] Univ San Andres, Dept Matemat & Ciencias, RA-1644 Victoria, Argentina
[2] Univ Republica, Ctr Matemat, Montevideo, Uruguay
关键词
cluster analysis; functional data; impartial trimming;
D O I
10.1016/j.csda.2006.07.011
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A robust cluster procedure for functional data is introduced. It is based on the notion of impartial trimming. Existence and consistency results are obtained. Furthermore, a feasible algorithm is proposed and implemented in a real data example, where patterns of electrical power consumers are observed. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:4864 / 4877
页数:14
相关论文
共 14 条
  • [1] THE STRONG LAW OF LARGE NUMBERS FOR K-MEANS AND BEST POSSIBLE NETS OF BANACH VALUED RANDOM-VARIABLES
    CUESTA, JA
    MATRAN, C
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1988, 78 (04) : 523 - 534
  • [2] Cuesta-Albertos JA, 1997, ANN STAT, V25, P553
  • [3] Cuesta-Albertos JA, 2006, DIMACS SER DISCRET M, V72, P121
  • [4] CUESTAALBERTOS JA, 1984, TRABAJOS ESTADIST IN, V35, P3
  • [5] OPTIMAL GROUPING, SPACING, STRATIFICATION, AND PIECEWISE CONSTANT APPROXIMATION
    EUBANK, RL
    [J]. SIAM REVIEW, 1988, 30 (03) : 404 - 420
  • [6] Trimming tools in exploratory data analysis
    García-Escudero, LA
    Gordaliza, A
    Matrán, C
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2003, 12 (02) : 434 - 449
  • [9] UNIQUENESS OF PRINCIPAL POINTS FOR UNIVARIATE DISTRIBUTIONS
    LI, LN
    FLURY, B
    [J]. STATISTICS & PROBABILITY LETTERS, 1995, 25 (04) : 323 - 327
  • [10] Robust principal component analysis for functional data
    N. Locantore
    J. S. Marron
    D. G. Simpson
    N. Tripoli
    J. T. Zhang
    K. L. Cohen
    Graciela Boente
    Ricardo Fraiman
    Babette Brumback
    Christophe Croux
    Jianqing Fan
    Alois Kneip
    John I. Marden
    Daniel Peña
    Javier Prieto
    Jim O. Ramsay
    Mariano J. Valderrama
    Ana M. Aguilera
    N. Locantore
    J. S. Marron
    D. G. Simpson
    N. Tripoli
    J. T. Zhang
    K. L. Cohen
    [J]. Test, 1999, 8 (1) : 1 - 73