移动极值排序集抽样设计下简单线性回归模型的参数估计

IF 1 4区 数学
Dong-sen Yao, Wang-xue Chen, Chun-xian Long
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引用次数: 4

摘要

在一些实验中,成本有效的采样设计是一个主要问题,尤其是当感兴趣的特性的测量成本高、痛苦或耗时时。排名集抽样(RSS)最早由McIntyre于1952年提出。一种使用排序集进行无偏选择性抽样的方法。《澳大利亚农业研究杂志》385-390],作为估计牧场平均值的有效方法。在本文中,对于简单线性回归模型的最佳线性无偏估计量(BLUE),考虑了一种对排序集抽样的修改,称为移动极值排序集抽样(MERSS)。推导了MERSS下该模型的BLUE。与简单随机采样下的BLUE相比,MERSS下的BLUEs对正常数据的效率明显更高。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Parametric estimation for the simple linear regression model under moving extremes ranked set sampling design

Cost effective sampling design is a major concern in some experiments especially when the measurement of the characteristic of interest is costly or painful or time consuming. Ranked set sampling (RSS) was first proposed by McIntyre [1952. A method for unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research 3, 385–390] as an effective way to estimate the pasture mean. In the current paper, a modification of ranked set sampling called moving extremes ranked set sampling (MERSS) is considered for the best linear unbiased estimators(BLUEs) for the simple linear regression model. The BLUEs for this model under MERSS are derived. The BLUEs under MERSS are shown to be markedly more efficient for normal data when compared with the BLUEs under simple random sampling.

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来源期刊
自引率
10.00%
发文量
33
期刊介绍: Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.
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