11. Canonical Correlation Analysis

  1. Yasunori Fujikoshi1,
  2. Vladimir V. Ulyanov2 and
  3. Ryoichi Shimizu3

Published Online: 22 AUG 2011

DOI: 10.1002/9780470539873.ch11

Multivariate Statistics: High-Dimensional and Large-Sample Approximations

Multivariate Statistics: High-Dimensional and Large-Sample Approximations

How to Cite

Fujikoshi, Y., Ulyanov, V. V. and Shimizu, R. (2011) Canonical Correlation Analysis, in Multivariate Statistics: High-Dimensional and Large-Sample Approximations, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470539873.ch11

Author Information

  1. 1

    Chuo University, Tokyo, Japan

  2. 2

    Moscow State University, Moscow, Russia

  3. 3

    Institute of Statistical Mathematics, Tokyo, Japan

Publication History

  1. Published Online: 22 AUG 2011
  2. Published Print: 6 JAN 2010

ISBN Information

Print ISBN: 9780470411698

Online ISBN: 9780470539873

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Keywords:

  • canonical correlation analysis;
  • distributional reduction;
  • Fisher's z-transformation;
  • large-sample asymptotic distributions;
  • high-dimensional asymptotic distributions

Summary

This chapter contains sections titled:

  • Definition of Population Canonical Correlations and Variables

  • Sample Canonical Correlations

  • Distributions of Canonical Correlations

  • Inference for Dimensionality

  • Selection of Variables