Consistency of k-nearest Neighbor Regression Estimator under mixing condition with tie-breaking by randomization
Abstract
In most researches that have studied the consistency of nonparametric k-nearest neighbors estimator have been depended on tie breaking by indices strategy. We hope in this paper to study the regression function estimation by using nonparametric k-nearest neighbors estimation under strong mixing concept. Where the consistency results of k-nearest neighbor regression estimator in have been expanded as independent case to the dependent case with using tie breaking by randomization instead of indices strategy.
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