Götze, Friedrich, and Tikhomirov, AN. 1999. “Asymptotic distribution of quadratic forms”. *ANNALS OF PROBABILITY* 27 (2): 1072-1098.

","bio1":"Götze F, Tikhomirov AN (1999) Asymptotic distribution of quadratic forms.

ANNALS OF PROBABILITY 27(2): 1072-1098.","frontiers":"Götze, F., and Tikhomirov, A. N. (1999). Asymptotic distribution of quadratic forms.

Götze, F., & Tikhomirov, A. N. (1999). Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, *27*(2), 1072-1098.

","dgps":"Götze, F. & Tikhomirov, A.N. (1999). Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, *27*(2), 1072-1098. INST MATHEMATICAL STATISTICS.

"},"title":"Asymptotic distribution of quadratic forms","author":[{"first_name":"Friedrich","last_name":"Götze","id":"10518","full_name":"Götze, Friedrich"},{"last_name":"Tikhomirov","first_name":"AN","full_name":"Tikhomirov, AN"}],"issue":"2","type":"journal_article","abstract":[{"lang":"eng","text":"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."}],"isi":1,"user_id":"89573","publisher":"INST MATHEMATICAL STATISTICS","language":[{"iso":"eng"}],"publication_status":"published","article_type":"original","intvolume":" 27","publication_identifier":{"issn":["0091-1798"]},"year":"1999","page":"1072-1098","volume":27,"_id":"1622394","publication":"ANNALS OF PROBABILITY","status":"public","department":[{"_id":"10020"}],"quality_controlled":"1","external_id":{"isi":["000081921700016"]},"date_created":"2010-04-28T13:05:40Z"}]