[{"publication":"ANNALS OF PROBABILITY","dc":{"description":["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."],"identifier":["https://pub.uni-bielefeld.de/record/1622394"],"publisher":["INST MATHEMATICAL STATISTICS"],"source":["Götze F, Tikhomirov AN. Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*. 1999;27(2):1072-1098."],"date":["1999"],"rights":["info:eu-repo/semantics/closedAccess"],"type":["info:eu-repo/semantics/article","doc-type:article","text"],"relation":["info:eu-repo/semantics/altIdentifier/issn/0091-1798","info:eu-repo/semantics/altIdentifier/wos/000081921700016"],"subject":["limit theorems","asymptotic distribution","quadratic forms","independent random variables","Berry-Esseen bounds"],"title":["Asymptotic distribution of quadratic forms"],"creator":["Götze, Friedrich","Tikhomirov, AN"],"language":["eng"]},"intvolume":" 27","article_type":"original","language":[{}],"publication_identifier":{"issn":[]},"isi":1,"publication_status":"published","date_updated":"2019-05-13T10:53:46Z","page":"1072-1098","author":[{"full_name":"Götze, Friedrich","first_name":"Friedrich","last_name":"Götze","id":"10518"},{"first_name":"AN","full_name":"Tikhomirov, AN","last_name":"Tikhomirov"}],"citation":{"frontiers":"Götze, F., and Tikhomirov, A. N. (1999). Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY* 27, 1072-1098.","lncs":" Götze, F., Tikhomirov, A.N.: Asymptotic distribution of quadratic forms. ANNALS OF PROBABILITY. 27, 1072-1098 (1999).","ieee":" F. Götze and A.N. Tikhomirov, “Asymptotic distribution of quadratic forms”, *ANNALS OF PROBABILITY*, vol. 27, 1999, pp. 1072-1098.","bio1":"Götze F, Tikhomirov AN (1999)

Asymptotic distribution of quadratic forms.

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

","default":"Götze F, Tikhomirov AN (1999)

*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.","angewandte-chemie":"F. Götze, and A. N. Tikhomirov, “Asymptotic distribution of quadratic forms”, *ANNALS OF PROBABILITY*, **1999**, *27*, 1072-1098.","apa":"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.

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

","harvard1":"Götze, F., & Tikhomirov, A.N., 1999. Asymptotic distribution of quadratic forms. *ANNALS OF PROBABILITY*, 27(2), p 1072-1098."},"quality_controlled":"1","abstract":[{"lang":"eng"}],"user_id":"89573","issue":"2","department":[{"_id":"10020","tree":[{"_id":"10020"}]}],"volume":27,"_id":"1622394","date_created":"2010-04-28T13:05:40Z","uri_base":"https://pub.uni-bielefeld.de","external_id":{"isi":[]},"message":"NEWISI20100428 NEW ISI record:\r\nDepartments: Univ Bielefeld, Fak Math, D-33501 Bielefeld 1, Germany. --- Russian Acad Sci, Fac Math, Syktyvkar 167001, Russia. --- Syktyvkar State Univ, Syktyvkar, Russia.\r\nISI Id: ISI:000081921700016 / cleanup departments: SFB701 & SFB1283, 2019-03-27","creator":{"login":"weingarten","id":"89573"},"keyword":[],"dini_type":"doc-type:article","status":"public","type":"journal_article"}]