Eigenvalues of large sample covariance matrices of spiked population models
We consider a spiked population model, proposed by Johnstone, in which all the population eigenvalues are one 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 of the sample eigenvalues in a spiked model for a general class of samples.
Volume (Year): 97 (2006)
Issue (Month): 6 (July)
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