无响应情况下模型方法下总体均值的一类估计

Pub Date : 2022-02-04 DOI:10.13052/jrss0974-8024.1511
A. Singh, V. K. Singh
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引用次数: 1

摘要

基于利用辅助变量对非应答者进行亚抽样的概念,我们定义了一类非应答误差下总体均值的估计量。该类是一类基于指数型估计量思想的单参数估计量。在多项式回归模型(PRM)下,导出了该类及其一些重要成员的模型偏差和模型均方误差。基于经验结果,讨论了PRM规范的变化对估计器效率的影响。
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A Family of Estimators for Population Mean Under Model Approach in Presence of Non-Response
We have defined a class of estimators for population mean under non-response error based upon the concept of sub-sampling of non-respondents utilizing an auxiliary variable. The class is a one-parameter class of estimators which is based on the idea of exponential type estimators (ETE). The model biasness and model-mean square error of the class and some of its important members have been derived under polynomial regression model (PRM). The effect of variations in PRM specifications on the efficiency of the estimators has been discussed based upon the empirical results.
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