Ahmad Sohaib, Masood Saadia, Alomair Abdullah Mohammed, Alomair Mohammed Ahmed
Department of Statistics, Abdul Wali Khan University, Mardan, Pakistan.
Department of Mathematics and Statistics, PMAS University of Arid Agriculture, Rawalpindi, Pakistan.
Sci Rep. 2024 Jul 17;14(1):16504. doi: 10.1038/s41598-024-67189-1.
This article aims to suggest an improved estimator for estimation of population median using auxiliary information under simple random sampling. The expression for the bias and mean square error are obtained up to first order approximation. We determine the MLE of the optimal values of the describing scalars. The proficiency of the suggested estimator is evaluated in comparison to the preliminary estimators using the MSE threshold. The suggested estimators are compared numerically to the ones that are currently studied in this study. The performance and novelty of the estimators was evaluated using real data sets and a simulation study. To check the efficiency of estimators empirical and theoretical study has been studied. Based on numerical result it is to be noted that our suggested estimator is more efficient as compared to existing estimators which is considered in this article in terms of least MSE and greater PRE.
本文旨在提出一种改进的估计量，用于在简单随机抽样下利用辅助信息估计总体中位数。偏差和均方误差的表达式通过一阶近似得到。我们确定了描述标量最优值的极大似然估计。使用均方误差阈值，将所提出估计量的效能与初步估计量进行比较评估。将所提出的估计量与本研究中当前所研究的估计量进行数值比较。使用真实数据集和模拟研究对估计量的性能和新颖性进行评估。为检验估计量的效率，进行了实证和理论研究。基于数值结果需要指出的是，就最小均方误差和更大的预估相对效率而言，我们所提出的估计量比本文中所考虑的现有估计量更有效。
