[{"year":"1999","issue":"2","publication_identifier":{"issn":["0091-1798"]},"isi":1,"date_created":"2010-04-28T13:05:40Z","type":"journal_article","article_type":"original","citation":{"bio1":"Götze F, Tikhomirov AN (1999)

Asymptotic distribution of quadratic forms.

ANNALS OF PROBABILITY 27(2): 1072-1098.","wels":"Götze, F.; Tikhomirov, A. N. (1999): Asymptotic distribution of quadratic forms *ANNALS OF PROBABILITY*,27:(2): 1072-1098.","apa_indent":"Götze, F., & Tikhomirov, A. N. (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. *ANNALS OF PROBABILITY* 27, 1072-1098.","ieee":" F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, *ANNALS OF PROBABILITY*, vol. 27, 1999, pp. 1072-1098.","dgps":"Götze, F. & Tikhomirov, A.N. (1999). Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, *27*(2), 1072-1098. INST MATHEMATICAL STATISTICS.

","mla":"Götze, Friedrich, and Tikhomirov, AN. “Asymptotic distribution of quadratic forms”. *ANNALS OF PROBABILITY* 27.2 (1999): 1072-1098.","harvard1":"Götze, F., & Tikhomirov, A.N., 1999. Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, 27(2), p 1072-1098.","chicago":"Götze, Friedrich, and Tikhomirov, AN. 1999. “Asymptotic distribution of quadratic forms”. *ANNALS OF PROBABILITY* 27 (2): 1072-1098.

","apa":"Götze, F., & Tikhomirov, A. N. (1999). Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, *27*(2), 1072-1098.","angewandte-chemie":"F. Götze, and A. N. Tikhomirov, “Asymptotic distribution of quadratic forms”, *ANNALS OF PROBABILITY*, **1999**, *27*, 1072-1098.","lncs":" Götze, F., Tikhomirov, A.N.: Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY. 27, 1072-1098 (1999).","ama":"Götze F, Tikhomirov AN. Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*. 1999;27(2):1072-1098.","default":"Götze F, Tikhomirov AN (1999)

*ANNALS OF PROBABILITY* 27(2): 1072-1098."},"author":[{"first_name":"Friedrich","last_name":"Götze","full_name":"Götze, Friedrich","id":"10518"},{"last_name":"Tikhomirov","first_name":"AN","full_name":"Tikhomirov, AN"}],"_id":"1622394","intvolume":" 27","keyword":["limit theorems","asymptotic distribution","quadratic forms","independent random variables","Berry-Esseen bounds"],"quality_controlled":"1","date_updated":"2019-05-13T10:53:46Z","status":"public","publication_status":"published","user_id":"89573","volume":27,"external_id":{"isi":["000081921700016"]},"language":[{"iso":"eng"}],"publication":"ANNALS OF PROBABILITY","title":"Asymptotic distribution of quadratic forms","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."}],"department":[{"_id":"10020"}],"publisher":"INST MATHEMATICAL STATISTICS","page":"1072-1098"}]