期刊文献+

一种新的中位数排序集抽样下的对总体均值的Horvitz-Thompson估计

A New and More Flexible Median Ranked Set Sampling for Horvitz-Thompson Estimation of Population Mean
原文传递
导出
摘要 排序集抽样(RSS)是一种著名的抽样技术,它有许多变体,中位数排序集抽样(MRSS)就是其中一种.与简单随机抽样(SRS)相比,RSS在估计总体均值方面具有优势.然而,RSS及其变体的局限性在于,当给定样本大小n时,抽样过程中每次SRS的规模m只能是n或者n的因子.介绍了一种改进的中位数排序集抽样方法MRSS(m),它比原方法在抽样过程上有更多的选择.实验表明,采用新的抽样方法MRSS(m),可以提高Horvitz-Thompson(HT)估计量的估计效率,同时还降低了抽样成本. Ranked set sampling(RSS) is a well-known sampling technique.It has many variants,median ranked set sampling(MRSS) is one of them.Compared with simple random sampling(SRS),ranked set sampling has shown superiority in estimating population mean.However,the limitation of RSS and its variants(including MRSS) is that when the sample size n is given,the SRS size m has to be n or the factors of n.In this paper,we introduce a modified median ranked set sampling MRSS(m) which has more options for SRS size m than the original MRSS.Our experiments show that using our new sampling method MRSS(m),we can not only improve the efficiency of HT estimation,but also reduce the sampling cost.
作者 陈宇 王伟 蔡荣彦 冯金平 龚新奇 CHEN Yu;WANG Wei;CAI Rong-yan;FENG Jin-ping;GONG Xin-qi(School of Mathematics,Renmin University of China,Beijing 100872,China;School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China;State Grid Fujian Electric Power Co.,Ltd.,Fuzhou 350003,China;School of Mathematics and Statistics,Henan University,Kaifeng 475004,China;Institute for Mathematical Sciences,Renmin University of China,Beijing 100872,China)
出处 《数学的实践与认识》 北大核心 2019年第20期235-247,共13页 Mathematics in Practice and Theory
基金 国家自然科学基金(31670725) 国家自然科学基金(91730301) 福建省教育厅中青年教师教育科研项目(JAT170336)
关键词 排序集抽样 中位数排序集抽样 Horvitz-Thompson估计量 总体均值 ranked set sampling median ranked set sampling Horvitz-Thompson estimation population mean
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部