Abstract

The exponential weighted moving average (EWMA) statistic is utilized the past information along with the present to enhance the efficiency of the estimators used for estimating the population parameters. In this study, the EWMA statistic is used for the estimation of population mean with suitable auxiliary information. The memory type ratio and product estimators are proposed under ranked-based sampling (RBS) schemes including extreme ranked set sampling, median ranked set sampling, and quartile ranked set sampling. The expressions of mean square errors (MSE) of the proposed estimators are derived. An extensive simulation study is conducted to evaluate the performance of the proposed estimators. An empirical study is presented based on real-life data that supports the findings of the simulation study.

摘要

指数加权移动平均 ( EWMA ) 统计利用过去的信息和现在的信息来提高用于估计总体参数的估计器的效率。在本研究中，EWMA统计量用于估计人口均值，并提供适当的辅助信息。内存类型比和乘积估计器是在基于排序的抽样 ( RBS ) 方案下提出的，包括极端排序集抽样、中位数排序集抽样和四分位数排序集抽样。均方误差的表达式（MSE) 推导了所提出的估计量。进行了广泛的模拟研究以评估所提出的估计器的性能。基于支持模拟研究结果的现实生活数据提出了实证研究。