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Eigenvalues of Large Sample Covariance Matrices of Spiked Population Models

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arxiv math/0408165 v1 pith:DMNUUDTJ submitted 2004-08-12 math.ST math.PRstat.TH

Jinho Baik , Jack W. Silverstein This is my paper · ORCID
classification math.STmath.PRstat.TH
keywords populationeigenvaluessamplelargesizespikedalmostbecome
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We consider a spiked population model, proposed by Johnstone, whose population eigenvalues are all unit except for a few fixed eigenvalues. The question is to determine how the sample eigenvalues depend on the non-unit population ones when both sample size and population size become large. This paper completely determines the almost sure limits for a general class of samples.

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