A Local Parameterization of Orthogonal and Semi-Orthogonal Matrices with Applications
This article describes a local parameterization of orthogonal and semi-orthogonal matrices. The parameterization leads to a unified approach for obtaining the asymptotic joint distributions of estimators of singular-values and -vectors, and of eigen-values and -vectors. The singular- or eigen-values can have arbitrary multiplicities. The approach is illustrated on principal components analyzes, canonical correlation analysis, inter-battery factory analysis, and reduced-rank regression.
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Volume (Year): 67 (1998)
Issue (Month): 2 (November)
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