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ON THE ESTIMATION OF POPULATION RATIO, PRODUCT AND MEAN IN PRESENCE OF MEASUREMENT ERRORS

机译:存在测量误差的人口比,产品和均值的估计

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摘要

This paper addresses a class of estimators for estimating the population ratio, product and mean using auxiliary information in presence of measurement errors. Expressions for bias and mean squared error are derived under large samples. Asymptotically optimum estimator (AOE) in the class is identified along with its MSE formula. The studies carried out by Shalabh (1997) and Manisha and Singh (2001) are particular cases of the present study. A wider class of estimators is also presented.
机译:本文提出了一种估计器,用于在存在测量误差的情况下使用辅助信息来估计总体比率,乘积和均值。偏差和均方误差的表达式是在大样本下得出的。该类中的渐近最优估计器(AOE)与其MSE公式一起确定。 Shalabh(1997)以及Manisha和Singh(2001)进行的研究是本研究的特例。还介绍了更广泛的估计器。

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