END样本最近邻密度估计的一致强相合速度

Uniform Strong Consistency Rate of Nearest Neighbor Estimator of Density Function for END Samples

利用扩展负相依(END)序列的Bernstein型不等式,研究END样本最近邻密度估计的一致强相合速度,给出了一致强相合性收敛速度的充分条件,并得到了与NA样本相同的一致强相合收敛速度.

We discussed the uniform strong consistency rate of nearest neighbor estimator of density function for extended negatively dependent（END）samples via Bernstein type inequality for END sequences.It gave some sufficient conditions for the uniform strong consistency rate.As a result,we obtained the same uniform strong consistency rate with as that of NA samples.