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Limiting spectral distribution of normalized sample covariance matrices with p/n→0

Junshan Xie

Statistics & Probability Letters, 2013, vol. 83, issue 2, 543-550

Abstract: We consider a type of normalized sample covariance matrix without independence in columns, and derive the limiting spectral distribution when the number of variables p and the sample size n satisfy that p→∞, n→∞, and p/n→0. This result is a supplement to the corresponding result under the case that p/n→c∈(0,∞), which was obtained by Bai and Zhou (2008).

Keywords: Normalized sample covariance matrices; Limiting spectral distribution; Stieltjes transform (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2012.10.014

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