@article{1622394,
abstract = {We consider quadratic forms [GRAPHICS] where X-j are i.i.d. random variables with finite third moment. We obtain optimal bounds for the Kolmogorov distance between the distribution of Q(n), and the distribution of the same quadratic forms with X-j replaced by corresponding Gaussian random variables. These bounds are applied to Toeplitz and random matrices as well. as to nonstationary AR(1) processes.},
author = {GĂ¶tze, Friedrich and Tikhomirov, AN},
issn = {0091-1798},
journal = {ANNALS OF PROBABILITY},
number = {2},
pages = {1072--1098},
publisher = {INST MATHEMATICAL STATISTICS},
title = {{Asymptotic distribution of quadratic forms}},
volume = {27},
year = {1999},
}