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On SURE-Type Double Shrinkage Estimation
DOI:10.1080/01621459.2015.1110032.png)
摘要
En 中文
The article is concerned with empirical Bayes shrinkage estimators for the heteroscedastic hierarchical normal model using Stein's unbiased estimate of risk (SURE). Recently, Xie, Kou, and Brown proposed. a class of estimators for this type of problems and established their asymptotic optimality properties under the assumption of known but unequal variances. In this article, we consider this problem with unequal and unknown variances, which may be more appropriate in real situations. By placing priors. for both means and variances, we propose novel SURE-type double shrinkage estimators that shrink both means and variances. Optimal properties for these estimators are derived under certain regularity conditions. Extensive simulation studies are conducted to compare the newly developed methods with other shrinkage techniques. Finally, the methods are applied to the well-known baseball dataset and a gene expression dataset. Supplementary materials for this article are available online.
Keyword:
Double shrinkage estimators
Empirical Bayes
Hierarchical model
Stein's unbiased risk estimate (SURE)
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3
论文数:
5.2K
被引数:
4.8W
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NONPARAMETRIC EMPIRICAL BAYES AND COMPOUND DECISION APPROACHES TO ESTIMATION OF A HIGH-DIMENSIONAL VECTOR OF NORMAL MEANS估计正态均值高维向量的非参数经验贝叶斯和复合决策方法
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