The Strong Consistency of the Nearest Neighbor Density Estimator of the Nonparametric Regression Function for Pairwises Negative Quadrant Depence Sequences

This paper obtains the strong consistency of the nearest neighbor density estimator of the nonparametric regression function for pairwises negative quadrant dependent sequences.We achieve the same mn(x) as that in the case of independent under the same condition,which is the sufficiency of the strong consistency.