提高人口方差向量估计的精度:利用多辅助信息的两阶段抽样方法

IF 0.7 4区 综合性期刊 Q3 MULTIDISCIPLINARY SCIENCES
Amber Asghar, A. Sanaullah, Muhammad Hanif, Laila A. Al-Essa
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引用次数: 0

摘要

为了提高未知人口参数估计的精度,通常会使用辅助变量。然而,在部分或完全无法获得所需辅助变量信息的情况下,通常会采用两阶段抽样。使用多辅助变量估计方差向量的挑战是目前文献中探索较少的领域。本文通过使用从多辅助信息中得出的估计方差向量,对多个研究变量的未知人口方差向量进行估计。当调查前不知道多个辅助变量的人口方差时,这种方法尤为重要。本文为拟议的多元估计器引入了广义方差和偏差向量。本文提供了拟议多元方差估计器的特例,并附有均方误差表达式。讨论了理论数学条件,以指导对所提估计器的偏好。通过对基于实际应用的数据进行分析,证明了所提出的多元方差估计器的适用性和效率,其性能优于改进版的多元方差估计器。此外,一项模拟研究验证了所提出的估计器与其修改后的估计器相比具有更优越的性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Enhancing Precision in Population Variance Vector Estimation: A Two-Phase Sampling Approach with Multi-Auxiliary Information
To enhance precision in estimating unknown population parameters, an auxiliary variable is often used. However, in scenarios where required information on an auxiliary variable is partially or fully unavailable, two-phase sampling is commonly employed. The challenge of estimating the variance vector using multi-auxiliary variables is a less explored area in current literature. This paper addresses the estimation of vector of unknown population variances for multiple study variables by using an estimated vector of variances derived from multi-auxiliary information. This approach is particularly relevant when population variances for the multi-auxiliary variables are not known prior to the survey. The paper introduces a generalized variance and a vector of biases for the proposed multivariate estimator. Special cases of the proposed multivariate variance estimator are provided, accompanied by expressions for mean square errors. Theoretical mathematical conditions are discussed to guide the preference for the proposed estimator. Through the analysis of real-world application-based data, the applicability and efficiency of the proposed multivariate variance estimator are demonstrated, outperforming modified versions of multivariate variance estimators. Additionally, a simulation study validates the superior performance of the proposed estimator compared to its modified estimators.
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来源期刊
Sains Malaysiana
Sains Malaysiana MULTIDISCIPLINARY SCIENCES-
CiteScore
1.60
自引率
12.50%
发文量
196
审稿时长
3-6 weeks
期刊介绍: Sains Malaysiana is a refereed journal committed to the advancement of scholarly knowledge and research findings of the several branches of science and technology. It contains articles on Earth Sciences, Health Sciences, Life Sciences, Mathematical Sciences and Physical Sciences. The journal publishes articles, reviews, and research notes whose content and approach are of interest to a wide range of scholars. Sains Malaysiana is published by the UKM Press an its autonomous Editorial Board are drawn from the Faculty of Science and Technology, Universiti Kebangsaan Malaysia. In addition, distinguished scholars from local and foreign universities are appointed to serve as advisory board members and referees.
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