SOME RESULTS ON GENERALIZED DIFFERENCE ESTIMATION AND GENERALIZED REGRESSION ESTIMATION FOR FINITE POPULATIONS

SOME RESULTS ON GENERALIZED DIFFERENCE ESTIMATION AND GENERALIZED REGRESSION ESTIMATION FOR FINITE POPULATIONS
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DOI:
10.1093/biomet/63.3.615
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发表时间:
1976-01-01
期刊:
影响因子:
2.7
通讯作者:
WRETMAN, JH
WRETMAN, JH
中科院分区:
数学2区
文献类型:
--
作者:
CASSEL, CM;SARNDAL, CE;WRETMAN, JH

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本文建立了一个超总体模型,在此模型下广义差估计在期望方差意义下是最优的。结果适用于辅助变量可用且假设通过原点进行线性回归的情况。提出了一种广义回归估计,并证明其优于一系列传统的竞争对手。
SUMMARYA superpopulation model is formulated under which the generalized difference estimator is optimal in an expected variance sense. The result is applied in the situation where an auxiliary variable is available and linear regression through the origin is assumed. A generalized regression estimator is proposed and shown to be better than a range of traditional competitors.