---
res:
bibo_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.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Friedrich
foaf_name: Götze, Friedrich
foaf_surname: Götze
foaf_workInfoHomepage: http://www.librecat.org/personId=10518
- foaf_Person:
foaf_givenName: AN
foaf_name: Tikhomirov, AN
foaf_surname: Tikhomirov
bibo_issue: '2'
bibo_volume: 27
dct_date: 1999^xs_gYear
dct_identifier:
- UT:000081921700016
dct_isPartOf:
- http://id.crossref.org/issn/0091-1798
dct_language: eng
dct_publisher: INST MATHEMATICAL STATISTICS@
dct_subject:
- limit theorems
- asymptotic distribution
- quadratic forms
- independent random variables
- Berry-Esseen bounds
dct_title: Asymptotic distribution of quadratic forms@
...