Computing the population mean on the use of auxiliary information under ranked set sampling

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Scientia Iranica Pub Date : 2023-07-08 DOI:10.24200/sci.2023.57385.5213

G. Vishwakarma

引用次数: 0

Abstract

In this manuscript, a generalized class of estimators has been developed for estimating a finite population means in ranked set sampling scheme. The expressions for bias and mean square error (MSE) of the proposed class of estimators have been derived up to the first order of approximation. Some estimators are shown to be a member of the proposed class. The proposed class of estimators has been compared through the MSE criterion over the other existing member estimators of the proposed class of estimators. The theoretical conditions are obtained under which the proposed class of estimators has performed better. Efficiency comparisons, empirical study, and simulation study also delineate the soundness of our proposed generalized class of the estimators under ranked

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在排序集抽样下，利用辅助信息计算总体均值

在这篇文章中，发展了一类广义的估计量，用于估计秩集抽样格式中的有限总体均值。在一阶近似下，得到了这类估计器的偏置和均方误差的表达式。一些估计器被证明是建议类的成员。通过MSE准则将所提出的估计量与所提出的估计量的其他现有成员估计量进行了比较。得到了该估计器具有较好性能的理论条件。效率比较，实证研究和模拟研究也描绘了我们提出的广义类估计器的合理性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Scientia Iranica 工程技术-工程：综合

CiteScore

2.90

自引率

7.10%

发文量

审稿时长

2 months

期刊介绍： The objectives of Scientia Iranica are two-fold. The first is to provide a forum for the presentation of original works by scientists and engineers from around the world. The second is to open an effective channel to enhance the level of communication between scientists and engineers and the exchange of state-of-the-art research and ideas. The scope of the journal is broad and multidisciplinary in technical sciences and engineering. It encompasses theoretical and experimental research. Specific areas include but not limited to chemistry, chemical engineering, civil engineering, control and computer engineering, electrical engineering, material, manufacturing and industrial management, mathematics, mechanical engineering, nuclear engineering, petroleum engineering, physics, nanotechnology.