吉林大学学报（理学版）2017，Vol.55Issue(6)：1461-1464,4.DOI:10.13413/j.cnki.jdxblxb.2017.06.20
ALNQD序列密度函数核估计的强相合性
Strong Consistency of Kernel Estimator of Density Function for ALNQD Sequence
摘要
Abstract
Let {X n ,n ≥ 1 } be an asymptotically linear negative quadrant dependent (ALNQD ) sequence with the same distribution,and f n (x)be the kernel estimator of the density function f (x) based on the sample X 1 ,…,X n .Under some suitable assumptions,the author proved the strong consistency,the uniform strong consistency and the r-order consistency of the kernel density estimator by using the moment inequalities of ALNQD sequences and Borel-Cantelli lemma.关键词
ALNQD序列/核估计/(一致)强相合性/r阶相合性Key words
ALNQD sequence/kernel estimator/(uniform)strong consistency/r-order consistency分类
数理科学引用本文复制引用
陆冬梅..ALNQD序列密度函数核估计的强相合性[J].吉林大学学报（理学版）,2017,55(6):1461-1464,4.基金项目
吉林省自然科学基金(批准号:20170101061JC). （批准号:20170101061JC）
