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Multivariate Association and Dimension Reduction: A Generalization of Canonical Correlation Analysis

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  • Ross Iaci
  • T.N. Sriram
  • Xiangrong Yin

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  • Ross Iaci & T.N. Sriram & Xiangrong Yin, 2010. "Multivariate Association and Dimension Reduction: A Generalization of Canonical Correlation Analysis," Biometrics, The International Biometric Society, vol. 66(4), pages 1107-1118, December.
    • Handle: RePEc:bla:biomet:v:66:y:2010:i:4:p:1107-1118
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    File URL: http://hdl.handle.net/10.1111/j.1541-0420.2010.01396.x
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    References listed on IDEAS

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    1. Yingcun Xia & Howell Tong & W. K. Li & Li‐Xing Zhu, 2002. "An adaptive estimation of dimension reduction space," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 363-410, August.
    2. He, Guozhong & Müller, Hans-Georg & Wang, Jane-Ling, 2003. "Functional canonical analysis for square integrable stochastic processes," Journal of Multivariate Analysis, Elsevier, vol. 85(1), pages 54-77, April.
    3. Yin, Xiangrong, 2004. "Canonical correlation analysis based on information theory," Journal of Multivariate Analysis, Elsevier, vol. 91(2), pages 161-176, November.
    4. Yin, Xiangrong & Li, Bing & Cook, R. Dennis, 2008. "Successive direction extraction for estimating the central subspace in a multiple-index regression," Journal of Multivariate Analysis, Elsevier, vol. 99(8), pages 1733-1757, September.
    5. Yingcun Xia, 2008. "A semiparametric approach to canonical analysis," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(3), pages 519-543, July.
    6. Iaci, Ross & Yin, Xiangrong & Sriram, T. N & Klingenberg, Christian Peter, 2008. "An Informational Measure of Association and Dimension Reduction for Multiple Sets and Groups With Applications in Morphometric Analysis," Journal of the American Statistical Association, American Statistical Association, vol. 103(483), pages 1166-1176.
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    Cited by:

    1. Kun Chen & Yanyuan Ma, 2017. "Analysis of Double Single Index Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 44(1), pages 1-20, March.
    2. Iaci, Ross & Sriram, T.N., 2013. "Robust multivariate association and dimension reduction using density divergences," Journal of Multivariate Analysis, Elsevier, vol. 117(C), pages 281-295.
    3. Iaci, Ross & Yin, Xiangrong & Zhu, Lixing, 2016. "The Dual Central Subspaces in dimension reduction," Journal of Multivariate Analysis, Elsevier, vol. 145(C), pages 178-189.

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