应用数学2018,Vol.31Issue(2):457-462,6.
负超可加相依样本密度函数核估计的相合性
Consistency of the Kernel Estimator of the Density Function for NSD Sequence
摘要
Abstract
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.关键词
负超可加相依样本/核估计/相合性Key words
NSD sample/Kernel estimator/Consistency分类
数理科学引用本文复制引用
聂彩玲,李永明,应锐..负超可加相依样本密度函数核估计的相合性[J].应用数学,2018,31(2):457-462,6.基金项目
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) (11461057, 11561010)