摘要
本文研究负超可加相依样本的密度函数核估计相合性.利用负超可加相依序列的不等式与性质,获得了密度函数核估计的逐点相和性和一致相和性以及r阶矩相和性.
In this paper, we study consistency of the kernel estimator of the density function for NSD sequence. By using the inequality and the nature of NSD, we obtian the pointwise strong consistency,the strong uniform consistency and the moment consistency about the kernel estimator of the density function.
作者
聂彩玲
李永明
应锐
NIE Cailing;LI Yongming;YING Rui(College of Sciences, Nanchang University, Nangchang 330000, China;Department of Mathematics, Shangrao Normal University, Shangrao 33~O01,China;Shangrao Normal School, Shangrao 333001, China)
出处
《应用数学》
CSCD
北大核心
2018年第2期457-462,共6页
Mathematica Applicata
基金
国家自然科学基金资助项目(11461057
11561010)
江西省自然科学基金项目(20161BAB201003)
国家自然科学基金委重点项目(71331006
91546202)
