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J4 ›› 2013, Vol. 48 ›› Issue (12): 107-110.

• 论文 • 上一篇    

基于中位数排序集抽样的区间估计

张良勇1,2,徐兴忠2,董晓芳1   

  1. 1.齐齐哈尔大学理学院, 黑龙江 齐齐哈尔 161006;
    2.北京理工大学数学学院, 北京 100081
  • 收稿日期:2013-09-08 出版日期:2013-12-20 发布日期:2014-01-09
  • 作者简介:张良勇(1980- ),男,讲师,博士,主要研究方向为统计推断. Email:ly1980z@126.com
  • 基金资助:

    国家自然科学基金资助项目(11071015);国家教育部高等学校博士学科点专项科研基金资助项目(20101101110033)

Interval estimation under median ranked set sampling

ZHANG Liang-yong1,2, XU Xing-zhong2, DONG Xiao-fang1   

  1. 1. School of Science, Qiqihar University, Qiqihar 161006, Heilongjiang, China;
    2. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2013-09-08 Online:2013-12-20 Published:2014-01-09

摘要:

利用中位数排序集样本的次序统计量来构造未知总体中位数的区间估计,证明了新估计具有适应任意分布性,并系统验证了新区间估计的精度一致高于排序集抽样下总体中位数的区间估计。最后将针叶树的一组真实数据进行了实际应用。

关键词: 区间估计;排序集抽样;中位数

Abstract:

The interval estimation for the infinite population median was constructed by using the order statistics of the median ranked set sample, and the new estimator was shown to be distribution-free. In addition, it was proofed analytically the precision of the new interval estimator is higher than the interval estimator of the population median under ranked set sampling. Finally, a practical application was carried out for a real data set related to conifer trees.

Key words: interval estimation; ranked set sampling; median

中图分类号: 

  • O212.7
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