Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal

Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal
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DOI:
10.1214/10-sts346
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发表时间:
2011-05-01
影响因子:
5.7
通讯作者:
Rao, J. N. K.
Rao, J. N. K.
中科院分区:
数学2区
文献类型:
--
作者:
Rao, J. N. K.

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根据Hansen, Madow和Tepping [J]。阿米尔-集权。协会第78(1983)776-793条],“概率抽样设计和随机化推理被广泛接受为抽样调查的标准方法。”在本文中,提出了广泛使用这种基于设计的方法的原因,特别是联邦机构和其他调查组织对与公共政策相关的主题进行复杂的大规模调查。本文还从两个不同的方向讨论了贝叶斯方法在调查抽样中的影响:基于大样本的非参数校准贝叶斯推断和基于参数模型的小面积估计的分层贝叶斯方法。
According to Hansen, Madow and Tepping [J. Amer Statist. Assoc. 78 (1983) 776-793], "Probability sampling designs and randomization inference are widely accepted as the standard approach in sample surveys." In this article, reasons are advanced for the wide use of this design-based approach, particularly by federal agencies and other survey organizations conducting complex large scale surveys on topics related to public policy. Impact of Bayesian methods in survey sampling is also discussed in two different directions: nonparametric calibrated Bayesian inferences from large samples and hierarchical Bayes methods for small area estimation based on parametric models.