CONDITIONAL AND UNCONDITIONAL MODELS IN MODEL-ASSISTED ESTIMATION OF FINITE POPULATION TOTALS

被引：0

作者：

Steel, David G. ^{[1
]}

Clark, Robert G. ^{[1
]}

机构：

[1] Univ Wollongong Australia, Ctr Stat & Survey Methodol, Wollongong, NSW, Australia

来源：

PAKISTAN JOURNAL OF STATISTICS | 2011年 / 27卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

Cluster sampling; Generalized regression estimator; Optimal estimation; Probability sampling;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The well known Godambe-Joshi lower bound for the anticipated variance of design unbiased estimators of population totals treats the auxiliary variables as constants. We extend the result to models where these variables are random and show that the generalized difference estimator using the expected values conditional on all auxiliary values is optimal. This has several implications including the fact that collecting multiple survey variables does not reduce the lower bound.

引用

页码：529 / 541

页数：13

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