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On asymptotic distribution of the test statistic for the mean of the non-isotropic principal component
Authors:C. Fang  P.R. Krishnaiah
Affiliation:Center for Multivariate Analysis , University of Pittsburgh ,
Abstract:In this paper, the authors derived the large sample distribution of the t statistic based upon the observations on the first principal component instead of the original variables. It is shown that the above statistic is distributed asymptotically as Student's t distribution.
Keywords:Asymptotic distribution  principal components and reduction of dimensionality
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