Abstract

In survey sampling, it might happen that information on the population mean of the auxiliary variable is not available, but it can be obtained if the researcher opts for it. The sampling design to be used in such a case is the Two-Phase sampling design. This design has been studied extensively in SRSWOR, but it has not been studied when the population under study is rare or clumped. It is known that when the population under study is rare or clumped, adaptive cluster sampling (ACS) design is more efficient, and therefore in this paper we have proposed the Two-Phase Adaptive Cluster Sampling Under Transformed Population Approach and further proposed ratio and product estimator and a generalized robust ratio type estimator in this design. The bias and MSE of the proposed estimators have been derived and presented up to the first order of approximation. Further, the performance of the proposed estimators has been analyzed using simulation studies.

中文翻译：

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变换总体方法下的两阶段自适应聚类采样

摘要

在调查抽样中，可能会出现无法获得辅助变量的总体均值信息的情况，但如果研究人员选择的话，则可以获得该信息。在这种情况下使用的抽样设计是两阶段抽样设计。这种设计在 SRSWOR 中已被广泛研究，但当所研究的群体很少或聚集时，尚未进行研究。众所周知，当所研究的群体稀少或聚集时，自适应整群抽样（ACS）设计更为有效，因此在本文中我们提出了变换总体方法下的两阶段自适应整群抽样方法，并进一步提出了比率和乘积本设计中的估计器和广义鲁棒比率型估计器。所提出的估计量的偏差和 MSE 已被导出并呈现为一阶近似。此外，还使用模拟研究对所提出的估计器的性能进行了分析。