The Rate of Strong Consistency of the Nearest Neighbor Density Estimator for Negatively Dependent Random Variables

الملخص EN

Let {Xn:n≥1} be a sequence of negatively dependent random variables.

Based on (X1,…,Xn), in this paper we investigate the rate of pointwise consistency and strong consistency of the nonparametric density estimator proposed by Yu.

We extend the correspondent results under the negatively dependent samples.