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首页> 外文期刊>International Journal of Statistics and Probability >Use of Auxiliary Variables and Asymptotically Optimum Estimators in Double Sampling
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Use of Auxiliary Variables and Asymptotically Optimum Estimators in Double Sampling

机译：在双重采样中使用辅助变量和渐近最佳估计

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This paper explore the need for exploiting auxiliary variables in sample survey and utilizing asymptotically optimum estimator in double sampling to increase the efficiency of estimators.The study proposed two types of estimators with two auxiliary variables for two phase sampling when there is no information about auxiliary variables at population level.The expressions for the Mean Squared Error (MSE) of the proposed estimators were derived to the first order of approximation.An empirical comparative approach of the minimum variances and percent relative efficiency were adopted to study the efficiency of the proposed and existing estimators.It was established that, the proposed estimators performed more efficiently than the mean per unit estimator and other previous estimators that don’t use auxiliary variable and that are not asymptotically optimum.Also, it was established that estimators that are asymptotically optimum that utilized single auxiliary variable are more efficient than those that are not asymptotically optimum with two auxiliary variables.
机译：本文探讨了在样本调查中利用辅助变量的需求，并利用双重采样中的渐近最佳估计，提高估计效率。当没有有关辅助变量的信息时，研究提出了两种辅助变量的两种辅助变量。在人口级别。提出估计人的平均平方误差（MSE）的表达得出到第一阶的近似阶数。通过最小差异的经验比较方法和相对效率的百分比来研究提出和现有的效率建立了估计值，所提出的估计人员比每单位估计者和其他不使用辅助变量的其他估计器更有效地进行，并且没有渐关节最佳的估计器。已经建立了渐近最佳的估计值单个辅助变量比那些没有用两个辅助变量渐关节最佳的人。

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