| 利用分层抽样数据中完全辅助信息的模型校正方法 |
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| 引用本文： | 伍长春,张润楚.利用分层抽样数据中完全辅助信息的模型校正方法[J].数学季刊,2006,21(2):309-316. |
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| 作者姓名： | 伍长春 张润楚 |
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| 作者单位： | School of Mathematics and Information Sciences，Jiaxing University，Jiaxing 314001，China;LPMC and School of Mathematical Sciences，Nankai University，Tianjin 300071，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10571093) |
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| 摘 要： | In stratified survey sampling, sometimes we have complete auxiliary information. One of the fundamental questions is how to effectively use the complete auxiliary information at the estimation stage. In this paper, we extend the model-calibration method to obtain estimators of the finite population mean by using complete auxiliary information from stratified sampling survey data. We show that the resulting estimators effectively use auxiliary information at the estimation stage and possess a number of attractive features such as asymptotically design-unbiased irrespective of the working model and approximately model-unbiased under the model. When a linear working-model is used, the resulting estimators reduce to the usual calibration estimator(or GREG).
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| 关 键 词： | 模型校准 假经验主义可能性 分层取样测量 完全辅助信息 估计方程 广义线性模型 超总体 |
A Model-calibration Approach to Using Complete Auxiliary Information from Stratified Sampling Survey Data |
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| WU Chang-chun,ZHANG Run-chu.A Model-calibration Approach to Using Complete Auxiliary Information from Stratified Sampling Survey Data[J].Chinese Quarterly Journal of Mathematics,2006,21(2):309-316. |
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| Authors: | WU Chang-chun ZHANG Run-chu |
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| Institution: | [1]School of Mathematics and Information Sciences, Jiaxing University, Jiaxing 314001, China [2]LPMC and School of Mathematical Sciences, Nankai University, Tianjin 300071, China |
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| Abstract: | In stratified survey sampling, sometimes we have complete auxiliary information. One of the fundamental questions is how to effectively use the complete auxiliary information at the estimation stage. In this paper, we extend the model-calibration method to obtain estimators of the finite population mean by using complete auxiliary information from stratified sampling survey data. We show that the resulting estimators effectively use auxiliary information at the estimation stage and possess a number of attractive features such as asymptotically design-unbiased irrespective of the working model and approximately model-unbiased under the model. When a linear working-model is used, the resulting estimators reduce to the usual calibration estimator(or GREG). |
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| Keywords: | model-calibration pseudo empirical likelihood stratified sampling survey complete auxiliary information estimating equations generalized linear models superpopulation |
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