数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (2): 453-468.doi: 10.1016/S0252-9602(16)30012-1

• 论文 • 上一篇    下一篇

QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES

李英华, 秦永松, 雷庆祝, 李丽凤   

  1. Department of Mathematics, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2014-07-11 修回日期:2015-04-10 出版日期:2016-04-25 发布日期:2016-04-25
  • 通讯作者: Yongsong QIN,E-mail:ysqin@gxnu.edu.cn E-mail:ysqin@gxnu.edu.cn
  • 作者简介:Yinghua LI,E-mail:54503514@qq.com;Qingzhu LEI,E-mail:qzlei@gxnu.edu.cn;Lifeng LI,E-mail:1057171318@qq.com
  • 基金资助:

    This work was partially supported by the National Natural Science Foundation of China (11271088, 11361011, 11201088) and the Natural Science Foundation of Guangxi (2013GXNSFAA019004, 2013GXNSFAA019007, 2013GXNSFBA019001).

QUANTILE ESTIMATION WITH AUXILIARY INFORMATION UNDER POSITIVELY ASSOCIATED SAMPLES

Yinghua LI, Yongsong QIN, Qingzhu LEI, Lifeng LI   

  1. Department of Mathematics, Guangxi Normal University, Guilin 541004, China
  • Received:2014-07-11 Revised:2015-04-10 Online:2016-04-25 Published:2016-04-25
  • Contact: Yongsong QIN,E-mail:ysqin@gxnu.edu.cn E-mail:ysqin@gxnu.edu.cn
  • Supported by:

    This work was partially supported by the National Natural Science Foundation of China (11271088, 11361011, 11201088) and the Natural Science Foundation of Guangxi (2013GXNSFAA019004, 2013GXNSFAA019007, 2013GXNSFBA019001).

摘要:

The empirical likelihood is used to propose a new class of quantile estimators in the presence of some auxiliary information under positively associated samples. It is shown that the proposed quantile estimators are asymptotically normally distributed with smaller asymptotic variances than those of the usual quantile estimators.

关键词: Quantile, positively associated sample, empirical likelihood

Abstract:

The empirical likelihood is used to propose a new class of quantile estimators in the presence of some auxiliary information under positively associated samples. It is shown that the proposed quantile estimators are asymptotically normally distributed with smaller asymptotic variances than those of the usual quantile estimators.

Key words: Quantile, positively associated sample, empirical likelihood

中图分类号: 

  • 62G05