Khan Mursala, Al-Hossain Abdullah Yahia
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, 22060 Pakistan.
Department of Mathematics, Faculty of Science, Jazan University, Jazan, 2097 Saudi Arabia.
Springerplus. 2016 Jun 14;5(1):723. doi: 10.1186/s40064-016-2368-1. eCollection 2016.
In this manuscript, we have proposed a difference-type estimator for population mean under two-phase sampling scheme using two auxiliary variables. The properties and the mean square error of the proposed estimator are derived up to first order of approximation; we have also found some efficiency comparison conditions for the proposed estimator in comparison with the other existing estimators under which the proposed estimator performed better than the other relevant existing estimators. We show that the proposed estimator is more efficient than other available estimators under the two phase sampling scheme for this one example; however, further study is needed to establish the superiority of the proposed estimator for other populations.
在本手稿中，我们提出了一种在两阶段抽样方案下使用两个辅助变量的总体均值差异型估计量。所提出估计量的性质和均方误差被推导至一阶近似；我们还找到了该估计量与其他现有估计量相比的一些效率比较条件，在这些条件下所提出的估计量比其他相关现有估计量表现更好。对于此示例，我们表明在两阶段抽样方案下所提出的估计量比其他可用估计量更有效；然而，需要进一步研究以确定所提出的估计量对于其他总体的优越性。
