Estimation of spiked eigenvalues in spiked models (Q2884858)
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scientific article; zbMATH DE number 6036654
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimation of spiked eigenvalues in spiked models |
scientific article; zbMATH DE number 6036654 |
Statements
18 May 2012
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sample covariance matrix
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spiked population model
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estimation
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extreme eigenvalues
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Stieltjes transformation
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consistency
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asymptotic normality
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Estimation of spiked eigenvalues in spiked models (English)
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The aim of the paper is to estimate the distant spiked eigenvalues of the population covariance matrix without using information of the proper probability distribution (PD). It is shown, that the proposed estimators have the same limiting distributions as those obtained when the PD is known. The estimators are based on the Stieltjes transformation of the empirical probability distribution of the sample. Consistency and asymptotic normality of the new estimators are analysed.
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