On sampling with probability proportional to size
On sampling with probability proportional to size
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DOI：
10.1016/s0378-3758(96)00186-3
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发表时间：
1997-08-15
影响因子：
0.9
通讯作者：
Rosen, B
中科院分区：
文献类型：
--
作者：
Rosen, B
利用辅助信息的工具之一是使用包含概率与给定大小度量成比例的抽样方案，即pi-ps方案。Rosen(1997)提出了一类新的一般抽样方案，称为顺序抽样方案，它为pi PS问题提供了有趣的贡献。引入了固定分布形状顺序抽样(OSFS)的概念，并利用它构造了一类一般的pi PS格式，称为OSFS pi PS格式。从最小化估计方差的意义上讲，在OSFS pi PS方案中，特定的方案Pareto pi PS被证明是最优的。比较了三种OSFS pi PS方案和三种其他pi PS方案：Sunter pi PS和系统pi PS，分别按帧大小随机排序。主要结论如下。在允许对抽样误差进行客观评估的pi PS方案中，Pareto pi PS方案更优越。(C)1997年爱思唯尔科学公司。
One of the vehicles for utilization of auxiliary information is to use a sampling scheme with inclusion probabilities proportional to given size measures, a pi ps scheme. The paper addresses the following pi ps problem: Exhibit a pi ps scheme with prescribed sample size, which leads to good estimation precision and has good variance estimation properties.Rosen (1997) presented a novel general class of sampling schemes, called order sampling schemes, which here are shown to provide interesting contributions to the pi ps problem. A notion 'order sampling with fixed distribution shape' (OSFS) is introduced, and employed to construct a general class of pi ps schemes, called OSFS pi ps schemes. A particular scheme, Pareto pi ps, is shown to be optimal among OSFS pi ps schemes, in the sense that it minimizes estimator variances. Comparisons are made of three OSFS pi ps schemes and three other pi ps schemes; Sunter pi ps and systematic pi ps with frame ordered at random respectively by the sizes. The main conclusion is as follows. Pareto pi ps is superior among pi ps schemes which admit objective assessment of sampling errors. (C) 1997 Elsevier Science B.V.