在总体方差估计中更有效地利用辅助信息——一类新的估计器

Kalim Ullah, Z. Hussain, S. A. Cheema
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引用次数: 1

摘要

在本文中,我们提出了利用分层随机抽样中辅助变量的秩和第二次原始矩等辅助信息相关参数的已知值来估计有限总体的方差。得到了该估计器在一阶近似下的偏置和均方误差的表达式。与其他估计方法相比,所提出的估计方法是有效的。并进行了数值和理论研究,以支持所建议的估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Using Auxiliary Information More Efficiently in Population Variance Estimation - A New Family of Estimators
In this article, we have suggested estimation of variance in finite population by using known values of parameter related to auxiliary information such as rank and second raw moment of auxiliary variable in stratified random sampling. The expression for the bias and mean squared error (MSE) of the suggested estimator are obtained up to first order of approximation. The proposed estimator is efficient comparatively various other estimators. A numerical and theoretical study are performed to support the suggested estimator.
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