{"title":"Weighted and Self-normalized Sums in Free Probability Theory","first_contributor":"Neufeld, Leonie","language":[{"iso":"eng"}],"status":"public","file_date_updated":"2025-02-11T09:46:32Z","license":"https://creativecommons.org/licenses/by/4.0/","author":[{"first_name":"Leonie","full_name":"Neufeld, Leonie","department":[{"_id":"10020"}],"id":"238723316","last_name":"Neufeld"}],"doi":"10.4119/unibi/3000752","date_updated":"2025-02-19T12:14:37Z","locked":"1","user_id":"29676584","email":"lneufeld@math.uni-bielefeld.de","file":[{"file_name":"Dissertation_Neufeld.pdf","access_level":"open_access","file_size":1321288,"content_type":"application/pdf","date_created":"2025-02-11T09:46:32Z","date_updated":"2025-02-11T09:46:32Z","relation":"main_file","checksum":"ee95a9bbf9489ec3ccbbf16f1e94cd10","file_id":"3000753"}],"page":"159","type_old":["dissertation","biDissertation","bidissertation","bi_dissertation"],"ddc":["510"],"bi_doctype":"bi_dissertation","_id":"3000752","publisher":"Universität Bielefeld","year":"2025","project":[{"name":"IRTG 2235/2: GRK 2235/2: Das Reguläre im Irregulären: Analysis von singulären und zufälligen Systemen","_id":"840"}],"unibi_person":1,"urn":"urn:nbn:de:0070-pub-30007523","oa":1,"type":"bi_dissertation","abstract":[{"text":"In this thesis we study the asymptotic behavior of weighted and self-normalized sums in free probability theory and determine the corresponding rates of convergence to their limit distribution.","lang":"eng"}],"date_created":"2025-02-11T10:56:28Z","department":[{"_id":"10020"}],"place":"Bielefeld","citation":{"ieee":" L. Neufeld, <em>Weighted and Self-normalized Sums in Free Probability Theory</em>,  Bielefeld: Universität Bielefeld, 2025.","default":"Neufeld L (2025) <br />Bielefeld: Universität Bielefeld.","angewandte-chemie":"L.  Neufeld, <em>Weighted and Self-normalized Sums in Free Probability Theory</em>, Universität Bielefeld, Bielefeld, <strong>2025</strong>.","frontiers":"Neufeld, L. (2025). Weighted and Self-normalized Sums in Free Probability Theory. Bielefeld: Universität Bielefeld.","apa_indent":"<div style=\"text-indent:-25px; padding-left:25px;padding-bottom:0px;\">Neufeld, L. (2025).  <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld. <a href=\"https://doi.org/10.4119/unibi/3000752\" target=\"_blank\">https://doi.org/10.4119/unibi/3000752</a></div>","dgps":"<div style=\"text-indent:-25px; padding-left:25px;padding-bottom:0px;\">Neufeld, L. (2025). <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld. doi:10.4119/unibi/3000752.</div>","apa":"Neufeld, L. (2025).  <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld. <a href=\"https://doi.org/10.4119/unibi/3000752\" target=\"_blank\">https://doi.org/10.4119/unibi/3000752</a>","lncs":" Neufeld, L.: Weighted and Self-normalized Sums in Free Probability Theory. Universität Bielefeld, Bielefeld (2025).","harvard1":"Neufeld, L., 2025. <em>Weighted and Self-normalized Sums in Free Probability Theory</em>, Bielefeld: Universität Bielefeld.","bio1":"Neufeld L (2025) <br /><em>Weighted and Self-normalized Sums in Free Probability Theory</em>.<br />Bielefeld: Universität Bielefeld.","chicago":"<div style=\"text-indent:-25px; padding-left:25px;padding-bottom:0px;\">Neufeld, Leonie. 2025. <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld.</div>","mla":"Neufeld, Leonie. <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld, 2025.","ama":"Neufeld L. <em>Weighted and Self-normalized Sums in Free Probability Theory</em>. Bielefeld: Universität Bielefeld; 2025.","wels":"Neufeld, L. (2025): Weighted and Self-normalized Sums in Free Probability Theory. Bielefeld: Universität Bielefeld."},"defense_date":"2025-01-17","supervisor":[{"full_name":"Götze, Friedrich","first_name":"Friedrich","uni_id":"6409194","department":[{"_id":"10020"}],"id":"10518","last_name":"Götze"}]}