@article{EJP963,
author = {Zhidong Bai and Jiang Hu and Guangming Pan and Wang Zhou},
title = {A Note on Rate of Convergence in Probability to Semicircular Law},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {16},
year = {2011},
keywords = {convergence rate, Wigner matrix, Semicircular Law, spectral distribution},
abstract = {In the present paper, we prove that under the assumption of the finite sixth moment for elements of a Wigner matrix, the convergence rate of its empirical spectral distribution to the Wigner semicircular law in probability is $O(n^{-1/2})$ when the dimension n tends to infinity.},
pages = {no. 88, 2439-2451},
issn = {1083-6489},
doi = {10.1214/EJP.v16-963},
url = {http://ejp.ejpecp.org/article/view/963}}