10.1007/s00440-003-0285-z
Götze, Friedrich
Friedrich
Götze
Tikhomirov, A
A
Tikhomirov
Rate of convergence to the semi-circular law
SPRINGER-VERLAG
2003
2010-04-28T12:58:43Z
2019-05-13T09:44:07Z
journal_article
https://pub.uni-bielefeld.de/record/1609739
https://pub.uni-bielefeld.de/record/1609739.json
0178-8051
A stochastic bound of order Op(n(-1/2)) for the Kolmogorov distance between the spectral distribution function of an n x n matrix from Wigner ensemble and the distribution function of the semi-circular law is obtained. The result holds assuming that the twelfth moment of the entries of the matrix is uniformly bounded.