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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 16 > No. 4

 
   

On the Asymptotic Evaluation of the Finite-Sample Risk of the Nearest Neighbor Classifier

PP: 589-599
doi:10.18576/amis/160412
Author(s)
Mohamed M. Rizk,
Abstract
Basedonanexactintegralexpressionfortherisk,anasymptoticevaluationoftheconditionalriskisderivedfordistributions with have unbounded supports, which, using Laplace’s method. Then, by integrating these asymptotic expansions, we evaluate the asymptotic evaluation of the finite sample risk (the unconditional probability error). The finite sample risk for the Pareto and exponential distributions are discussed as typical.

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