On the risk of the nearest neighbor rules

Rizk, Mohamed Mahmoud

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.

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Rizk, Mohamed: On the risk of the nearest neighbor rules. 2004.

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