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An asymptotic test for redundancy of variables in the comparison of two covariance matrices

Bernhard N. Flury

Statistics & Probability Letters, 1986, vol. 4, issue 3, 123-126

Abstract: Let [Sigma]1 and [Sigma]2 denote the p.d.s. covariance matrices of two p-variate normal populations, let [lambda]1 [greater-or-equal, slanted] [lambda]2 [lambda] ... [greater-or-equal, slanted] [lambda]p > 0 denote the characteristic roots of [Sigma]1-1 [Sigma]2, and [beta]1,...,[beta]p the associated characteristic vectors. An asymptotic chi squared test statistic is derived for the hypothesis that some m characteristic vectors depend only on q (

Keywords: eigenvectors; spectral; decomposition; normal; distribution; elliptical; distribution (search for similar items in EconPapers)
Date: 1986
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