Dissertation (Metadaten)
Titel:On the risk of the nearest neighbor rules
Autor:Mohamed Mahmoud Rizk
Fakultät:Mathematisch-Naturwissenschaftliche Fakultät
DDC Sachgebiet:510 Mathematik
Datum der mdl. Prüfung:06.07.2004
Referent(in):Prof. Dr. A.Irle
Korreferent(en) Korreferentin:Prof. Dr. U. Rösler
Beschreibung:The main contents of this thesis are summarized as follows: Based on an exact integral expression for the risk, we find an asymptotic evaluation of the conditional risk for unbounded support. Then the problems and the applicability of integrating these asymptotic expansions are discussed. This if followed by an alternative asymptotic approach using Laplace's method. Finally nearest neighbor distances are treated again for unbounded support.
Schlagworte:Nächste-Nachbarn-Problem ; Fehlerschranke ; Konvergenz ; Asymptotische Entwicklung ; nearest neighbor, risk, pattern recognition, Laplace's method, error estimates, covering numbers, nearest neighbor distances
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