Leveraging the Rao-Blackwell theorem to improve ratio estimators in adaptive cluster sampling

Chang Tai Chao, Arthur L. Dryver, Tzu Ching Chiang

研究成果: Article同行評審

12 引文 斯高帕斯(Scopus)


Rao-Blackwellization is used to improve the unbiased Hansen-Hurwitz and Horvitz-Thompson unbiased estimators in Adaptive Cluster Sampling by finding the conditional expected value of the original unbiased estimators given the sufficient or minimal sufficient statistic. In principle, the same idea can be used to find better ratio estimators, however, the calculation of taking all the possible combinations into account can be extremely tedious in practice. The simplified analytical forms of such ratio estimators are not currently available. For practical interest, several improved ratio estimators in Adaptive Cluster Sampling are proposed in this article. The proposed ratio estimators are not the real Rao-Blackwellized versions of the original ones but make use of the Rao-Blackwellized univariate estimators. How to calculate the proposed estimators is illustrated, and their performance are evaluated by both of the Bivariate Poisson clustered process and a real data. The simulation result indicates that the proposed improved ratio estimators are able to provide considerably advantageous estimation results over the original ones.

頁(從 - 到)543-568
期刊Environmental and Ecological Statistics
出版狀態Published - 2011 9月

All Science Journal Classification (ASJC) codes

  • 統計與概率
  • 環境科學 (全部)
  • 統計、概率和不確定性


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