北华大学学报（自然科学版）2016，Vol.17Issue(4)：444-447,4.DOI:10.11713/j.issn.1009-4822.2016.04.05
混合序列密度函数核估计的相合性
Consistency of the Kernel Estimator of the Density Function for Mixing Random Variables Sequence
摘要
Abstract
Let {Xn,n≥1} be a random variables sequence, f(x) is the probability density function,the density kernel estimator of f (x) is discussed based on X1, X2,…, Xn, and the strong consistency and the r-order consistency of ρ- mixing and φ~mixing random variables sequences are proved by Borel-Cantelli lemma and the moment inequalities under suitable conditions.关键词
密度函数核估计/相合性/ρ-混合序列/φ混合序列Key words
Kernel estimator of density function/Consistency/ρ- mixing sequence/φ~mixing sequence分类
数理科学引用本文复制引用
谭希丽,史文博,刘天泽,董慧..混合序列密度函数核估计的相合性[J].北华大学学报（自然科学版）,2016,17(4):444-447,4.基金项目
吉林省教育厅科学技术研究项目(2015155) （2015155）
