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A Law of Fractional Logarithm for Nested Complex Sample Covariance Matrices

Yang, Xiufan
arXiv (All) · Papers
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probability
I prove an almost-sure law of fractional logarithm and the associated finite-tail cluster sets for the largest eigenvalue along a northwest-nested path of complex sample covariance matrices drawn from one infinite array of independent entries. The entries have zero mean, unit variance, vanishing com
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