Definition of k-Nearest-Neighbor Estimator: The k-nearest-neighbor estimator is a kind of nonparametric estimator of a function. Given a data set {X_i, Y_i} it estimates values of Y for X's other than those in the sample. The process is to choose the k values of X_i nearest the X for which one seeks an estimate, and average their Y values. Here k is a parameter to the estimator. The average could be weighted, e.g. with the closest neighbor having the most impact on the estimate. (Econterms)

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