An Improved Estimator of finite Population Variance Using two Auxiliary Variable SRS

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2023-01-01 DOI:10.15446/rce.v46n1.104427

Sunil Kumar, Monica Choudhary

引用次数: 2

Abstract

In the present study, we explore the problem of estimation of finite population variance in simple random sampling (without replacement) by utilizing information of two auxiliary variables. A ratio cum exponential estimator has been proposed and its properties are studied to the first degree of approximation. To demonstrate the efficiency, members of the proposed estimator as well as other existing estimators are compared to the usual unbiased estimator. To study the performance, a simulation study is undertaken for both real and artificial population using R software. The suggested estimator is found to be more efficient than other existing estimators in terms of having minimum MSE.

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基于两个辅助变量SRS的有限总体方差改进估计

本文探讨了利用两个辅助变量的信息估计简单随机抽样(无替换)有限总体方差的问题。提出了一种比率-指数估计器，并对其性质进行了一次近似研究。为了证明该估计量的有效性，将所提出的估计量的成员以及其他现有的估计量与通常的无偏估计量进行了比较。为了研究其性能，使用R软件对真实种群和人工种群进行了模拟研究。在最小MSE方面，发现建议的估计器比其他现有的估计器更有效。

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

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.