文献类型：期刊文献

英文题名：LIMIT BEHAVIORS OF THE DEVIATION BETWEEN THE SAMPLE QUANTILES AND THE QUANTILE

作者：Xu, Shoufang[1];Miao, Yu[2]

第一作者：许寿方

通讯作者：Xu, SF[1]

机构：[1]Xinxiang Univ, Dept Math, Xinxiang 453000, Henan Province, Peoples R China;[2]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, 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), Xinxiang Univ, Dept Math, Xinxiang 453000, Henan Province, Peoples R China.|[1107121]新乡学院数学与信息科学学院;[11071]新乡学院;

年份：2011

卷号：25

期号：2

起止页码：197-206

外文期刊名：FILOMAT

收录：;Scopus(收录号：2-s2.0-79960750593);WOS:【SCI-EXPANDED(收录号:WOS:000288756300017)】；

基金：This work is supported by the National Natural Science Foundation of China (No. 11001077).

语种：英文

外文关键词：p-quantile; sample p-quantile; large deviation; moderate deviation; Bahadur asymptotic efficiency

摘要：In this article, we discuss the limit behaviors for the deviation between the sample p-quantile (xi) over cap (np) and the p-quantile xi(p) by sampling from a sequence of independent and identically distributed samples of size n. The moderate deviation, large deviation and Bahadur asymptotic efficiency for ((xi) over cap (pn)-xi(p)) are established under some weak conditions.