ND样本最近邻密度估计的一致强相合速度

摘要

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.%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.