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2013 Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices
Junshan Xie
Abstr. Appl. Anal. 2013: 1-7 (2013). DOI: 10.1155/2013/595912


This paper considers the precise asymptotics of the spectral statistics of random matrices. Following the ideas of Gut and Spătaru (2000) and Liu and Lin (2006) on the precise asymptotics of i.i.d. random variables in the context of the complete convergence and the second-order moment convergence, respectively, we will establish the precise second-order moment convergence rates of a type of series constructed by the spectral statistics of Wigner matrices or sample covariance matrices.


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Junshan Xie. "Second-Order Moment Convergence Rates for Spectral Statistics of Random Matrices." Abstr. Appl. Anal. 2013 1 - 7, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095150
MathSciNet: MR3132527
Digital Object Identifier: 10.1155/2013/595912

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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