设X1,X2,…,Xn是同分布的ND样本,具有共同的密度函数f(x),本文利用ND序列的Bernstein不等式,获得了ND样本的最近邻密度估计的一致强相合速度。
On the supposition that X1,X2,…,Xn are identically distributed negative dependent samples,with a common density function f(x).In this paper,the rate of strong uniform consistency of nearest neighbor density estimator for negative dependent(ND) samples is proved by Bernstein inequality.