The Bahadur Representation for Sample Quantiles Under Dependent Sequence

论文摘要

On the one hand, we investigate the Bahadur representation for sample quantiles under φ-mixing sequence with φ（n） = O(n-3) and obtain a rate as O(n-3/4 log n), a.s. On the other hand, by relaxing the condition of mixing coefficients to■, a rate O(n-1/2（log n）1/2), a.s., is also obtained.

论文目录

文章来源

类型: 期刊论文

作者: Wen-zhi YANG,Shu-he HU,Xue-jun WANG

来源: Acta Mathematicae Applicatae Sinica 2019年03期

年度: 2019

分类: 基础科学

专业: 数学

单位: School of Mathematical Science, Anhui University

基金: Supported by NNSF of China(11501005,11671012,11701004,11701005),NSF of Anhui Province(1808085QA03,1808085QA17,1808085QF212),Provincial Natural Science Research Project of Anhui Colleges(KJ2017A027,KJ2018A0030)

分类号: O212

页码: 521-531

总页数: 11

文件大小: 250K

下载量: 4

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