k-nearest-neighbor Bayes-risk estimation
Fukunaga, K.; Hostetler, L.
Information Theory, IEEE Transactions on
Volume 21, Issue 3, May 1975 Page(s): 285 - 293
Digital Object Identifier  
Summary: Nonparametric estimation of the Bayes riskR^astusing ak-nearest-neighbor (k-NN) approach is investigated. Estimates of the conditional Bayes errorr(X)for use in an unclassified test sample approach to estimateR^astare derived using maximum-likelihood estimation techniques. By using the volume information as well as the class representations of thek-NN's toX, the mean-squared error of the conditional Bayes error estimate is reduced significantly. Simulations are presented to indicate the performance of the estimates using unclassified testing samples.

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