Asymptotic distributions in the projection pursuit based canonical correlation analysis

被引:0
|
作者
Jiao Jin
HengJian Cui
机构
[1] Beijing Normal University,Department of Statistics and Financial Mathematics, School of Mathematical Sciences
[2] Laboratory of Mathematics and Complex Systems (Beijing Normal University),Ministry of Education
来源
Science China Mathematics | 2010年 / 53卷
关键词
asymptotic distribution; canonical correlation analysis; influence function; robust statistics; 62E20; 62H20; 62G35;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, associations between two sets of random variables based on the projection pursuit (PP) method are studied. The asymptotic normal distributions of estimators of the PP based canonical correlations and weighting vectors are derived.
引用
收藏
页码:485 / 498
页数:13
相关论文
共 50 条
  • [41] Distributions of the canonical correlation matrices for the elliptically contoured model
    Kabe, D.G.
    Industrial Mathematics, 1994, 44 (pt 1):
  • [42] Fuzzy Bilinear Latent Canonical Correlation Projection for Feature Learning
    Yuan, Yun-Hao
    Zhang, Hui
    Li, Yun
    Qiang, Jipeng
    Gou, Jianping
    Gao, Guangwei
    Li, Bin
    NEURAL INFORMATION PROCESSING (ICONIP 2019), PT I, 2019, 11953 : 670 - 678
  • [43] ASYMPTOTIC EXPANSIONS FOR THE DISTRIBUTIONS OF CANONICAL V-STATISTICS OF THIRD ORDER
    Borisov, I. S.
    Volodko, N. V.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2016, 60 (01) : 1 - 18
  • [44] CANONICAL EXPANSIONS, CORRELATION STRUCTURE, AND CONDITIONAL DISTRIBUTIONS OF BIVARIATE DISTRIBUTIONS GENERATED BY MIXTURES
    ONG, SH
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1993, 22 (09) : 2527 - 2547
  • [45] Projection pursuit clustering for exploratory data analysis
    Bolton, RJ
    Krzanowski, WJ
    JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2003, 12 (01) : 121 - 142
  • [46] Projection of Summer Precipitation over the Yangtze–Huaihe River Basin Using Multimodel Statistical Downscaling Based on Canonical Correlation Analysis
    吴丹
    江志红
    马婷婷
    JournalofMeteorologicalResearch, 2016, 30 (06) : 867 - 880
  • [47] Unsupervised hyperspectral image analysis with projection pursuit
    Ifarraguerri, A
    Chang, CI
    IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2000, 38 (06): : 2529 - 2538
  • [48] ROBUST PRINCIPAL COMPONENT ANALYSIS BY PROJECTION PURSUIT
    XIE, YL
    WANG, JH
    LIANG, YZ
    SUN, LX
    SONG, XH
    YU, RQ
    JOURNAL OF CHEMOMETRICS, 1993, 7 (06) : 527 - 541
  • [49] Projection of summer precipitation over the Yangtze–Huaihe River basin using multimodel statistical downscaling based on canonical correlation analysis
    Dan Wu
    Zhihong Jiang
    Tingting Ma
    Journal of Meteorological Research, 2016, 30 : 867 - 880
  • [50] PROJECTION PURSUIT EXPLORATORY DATA-ANALYSIS
    POSSE, C
    COMPUTATIONAL STATISTICS & DATA ANALYSIS, 1995, 20 (06) : 669 - 687