ABSTRACT

Recently, Haq et al. [A new estimator of finite population mean based on the dual use of the auxiliary information. Commun Stat Theory Methods. 2017;46(9):4425–4436] utilized the dual auxiliary information under simple random sampling only. Motivated by their idea, we initiated the dual use of auxiliary variable under a stratified random sampling scheme. Dual use of auxiliary variable consists: (1) the original auxiliary information and (2) the ranked auxiliary information. We proposed new optimal exponential-type estimators for the estimation of the finite population mean. Mathematical properties such as bias and mean squared error of the proposed estimators are derived. Monte Carlo simulation studies are included to successfully validate the theoretical results. Moreover, the applicability of the proposed estimators is highlighted through empirical interpretation with the help of a real-life data set. It is clearly identified from the numerical results that our proposed estimators are more efficient over the competitors.

摘要

最近，Haq等。[基于双重使用辅助信息的有限总体均值的新估计器。公共统计理论方法。2017; 46（9）：4425–4436]仅在简单随机抽样下利用了双重辅助信息。基于他们的想法，我们在分层随机抽样方案下启动了辅助变量的双重使用。辅助变量的双重用途包括：（1）原始辅助信息和（2）排序后的辅助信息。我们提出了新的最佳指数型估计器，用于估计有限总体均值。推导了估计属性的数学属性，如偏差和均方误差。包括蒙特卡洛模拟研究以成功验证理论结果。此外，借助现实生活中的数据集，通过经验解释突出了所建议估计量的适用性。从数值结果可以清楚地看出，我们提出的估算器比竞争对手更有效。