• Title/Summary/Keyword: James' approach to Jacobian

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A Note on Eigen Transformation of a Correlation-type Random Matrix

  • Kim, Kee-Young;Lee, Kwang-Jin
    • Journal of the Korean Statistical Society
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    • v.22 no.2
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    • pp.339-345
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    • 1993
  • It is well known that distribution of functions of eigen values and vectors of a certain matrix plays an important role in multivariate analysis. This paper deals with the transformation of a correlation-type random matrix to its eigen values and vectors. Properties of the transformation are also considered. The results obtained are applied to express the joint distribution of eigen values and vectors of the correlation matrix when sample is taken from a m-variate spherical distribution.

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