END样本最近邻密度估计的强相合速度  

RATE OF STRONG CONSISTENCY OF NEAREST NEIGHBOR ESTIMATOR OF DENSITY FUNCTION FOR END SAMPLES

作　　者：兰冲锋[1] 吴群英[2] 

机构地区：[1]阜阳师范学院经济与管理学院,安徽阜阳236037 [2]桂林理工大学理学院,广西桂林541004

出　　处：《数学杂志》2015年第3期665-671,共7页Journal of Mathematics

基　　金：国家自然科学基金资助(11061012);安徽省自然科学研究项目基金资助(KJ2013Z265;2014KJ006)

摘　　要：本文研究了扩展负相依(END)样本最近邻密度估计的强相合性问题.利用END序列的Bernstein型不等式和截尾的方法,获得了END样本最近邻密度估计的强相合速度,推广了NA样本和ND样本最近邻密度估计的相应结果.In this paper, we discuss the strong consistency of nearest neighbor estimator of density function for END samples. By applying Bernstein type inequality and truncation methods, the rate of strong consistency of nearest neighbor estimator of density function for END samples is obtained. Our results extend the corresponding ones of nearest neighbor estimator of density function for NA samples and ND samples.

关 键 词：END序列 最近邻密度估计 强相合速度 

分 类 号：O212.7[理学—概率论与数理统计]