文献类型：期刊文献

英文题名：On the Bahadur representation of sample quantiles and order statistics for NA sequences

作者：Xu, ShouFang[1];Ge, Li[2];Miao, Yu

第一作者：许寿方

通讯作者：Miao, Y[1]

机构：[1]Xinxiang Univ, Dept Math & Informat Sci, Xinxiang 453000, Henan Province, Peoples R China;[2]Henan Inst Sci & Technol, Dept Math, Xinxiang 453003, Henan Province, Peoples R China

第一机构：新乡学院数学与信息科学学院

通讯机构：[1]corresponding author), Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China.

年份：2013

卷号：42

期号：1

起止页码：1-7

外文期刊名：JOURNAL OF THE KOREAN STATISTICAL SOCIETY

收录：;Scopus(收录号：2-s2.0-84872422827);WOS:【SCI-EXPANDED(收录号:WOS:000314739200001)】；

基金：The authors are very grateful to the referees and the editor for their valuable reports (in particular, one referee pointed out an error in the proof of Theorem 2.1), which improved the presentation of this work. This work is supported by NSFC (No. 11001077, 11171093) and HASTIT (No. 2011HASTIT011).

语种：英文

外文关键词：Bahadur representation; Sample quantile; Order statistics; Negatively associated sequence

摘要：In this paper, the Bahadur representation of sample quantiles for negatively associated (NA) sequences under mild conditions is established, which improves the results of Xing and Yang (2011). Furthermore, we also obtain the Bahadur representation of order statistics based on the NA sequences. (C) 2012 The Korean Statistical Society. Published by Elsevier B.V. All rights reserved.