RANKED SET SAMPLING WITH SIZE-BIASED PROBABILITY OF SELECTION
RANKED SET SAMPLING WITH SIZE-BIASED PROBABILITY OF SELECTION
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DOI：
10.2307/2531448
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发表时间：
1990-06-01
期刊：
影响因子：
1.9
通讯作者：
MCDONALD, LL
中科院分区：
文献类型：
--
作者：
MUTTLAK, HA;MCDONALD, LL
McIntyre（1952，Journal of Agricultural Research 3，385-390）和Takahasi and Wakimoto（1968，Annals of Institute of Statistical Mathematics 20，1-31）建议的排序集抽样可以与大小偏向的选择概率相结合。我们假设自然的第一阶段样本是以与每个单元的大小成比例的选择概率收集的。然后，我们的目标是使用排序集抽样程序，以获得第二阶段的样本，并增加效率的估计相对于简单的随机抽样。考虑了总体均值和总体大小的估计。给出了计算机模拟结果，并以植被线截抽样为例进行了计算。最后，考虑了具有排序误差的排序集抽样，其选择概率与样本大小成正比。
Ranked set sampling as suggested by McIntyre (1952, Journal of Agricultural Research 3, 385-390) and Takahasi and Wakimoto (1968, Annals of the Institute of Statistical Mathematics 20, 1-31) may be combined with size-biased probability of selection. We assume that the natural first-phase sample is collected with probability of selection proportional to size for each unit. The objective is then to use the ranked set sampling procedure to obtain a second-phase sample and increase the efficiency of estimators relative to simple random sampling. Estimators of the population mean and the population size are considered. Computer simulated results are given, and an example using line-intercept sampling of vegetation is provided to illustrate computations. Finally, ranked set sampling with errors in ranking is considered with probability of selection proportional to size.