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.
出处
《数学杂志》
CSCD
北大核心
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)
关键词
END序列
最近邻密度估计
强相合速度
extended negatively dependent sequences
nearest neighbor estimator of density function
rate of strong consistency