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Definition of The Nardaraya-Watson Estimator

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Definition: The Nadaraya-Watson estimator is used to estimate regression functions based on data {Xi, Yi}. The equation produces an estimate for Y at any requested value of X (not only the ones in the data), using as input (1) the data set {Xi, Yi}, and (2) a kernel function describing the weights to be put on values in the data set near X in estimating Y. The kernel function itself can be parameterized by the choice of its functional form and its 'bandwidth' which scales its width in the X-direction. (Econterms)

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