Abstract

The ratio, product, difference estimators, and unbiased estimator under systematic sampling scheme has been studied in the presence of measurement error. The methods of estimation have been proposed for the estimation of the finite population mean. To exhibit the effect of measurement error, the study variable and auxiliary variable are supposed to be observed with measurement error. The properties of estimators’ viz. bias and MSE have been obtained. The simulation study has been conducted to compute the effect of measurement error on the MSE for the different levels of correlation coefficient and different levels of error variance.

中文翻译：

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在系统采样下计算测量误差对辅助信息使用的影响

摘要

在存在测量误差的情况下，研究了系统采样方案下的比率，乘积，差异估计量和无偏估计量。已经提出了用于估计有限总体均值的估计方法。为了展现测量误差的影响，假设观察变量和辅助变量都带有测量误差。估计者的属性。偏差和MSE已获得。已经进行了仿真研究，以计算在不同水平的相关系数和不同水平的误差方差下，测量误差对MSE的影响。