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

Authors

Mohamed M. Rizk, Mathematics & Computer Science Department, Faculty of Science, Menoufia University, Shebin El-Kom, EgyptFollow

Author Country (or Countries)

Egypt

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/160412

Recommended Citation

M. Rizk, Mohamed (2022) "On the Asymptotic Evaluation of the Finite-Sample Risk of the Nearest Neighbor Classifier," Applied Mathematics & Information Sciences: Vol. 16: Iss. 4, Article 12.
DOI: http://dx.doi.org/10.18576/amis/160412
Available at: https://digitalcommons.aaru.edu.jo/amis/vol16/iss4/12