Simultaneous estimation of Poisson means in two-way contingency tables under normalized squared error loss
Simultaneous estimation of Poisson means in two-way contingency tables under normalized squared error loss
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归一化平方误差损失下双向列联表中泊松均值的同时估计
DOI：
10.1007/s42081-022-00169-9
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发表时间：
2022
影响因子：
1.3
通讯作者：
Yuan-Tsung Chang and Shinozaki Nobuo
中科院分区：
文献类型：
--
作者：
T. Horiyama;S. Nakano;T. Saitoh;K. Suetsugu;A. Suzuki;R. Uehara;T. Uno;K. Wasa;Yuan-Tsung Chang and Shinozaki Nobuo
Shrinkage estimation of Poisson means is considered when observations are given in the form of a two-way contingency table. Assuming a multiplicative Poisson model, estimators which shrink to the specified values or an order statistic in one dimension and in two dimensions are considered and are shown to dominate the maximum-likelihood estimator (MLE) under normalized squared error loss. Furthermore, assuming the full model, shrinkage to the multiplicative model is devised to improve upon the unbiased estimator. Shrinkage is made after determining the basic cells, so that the observed frequency is not smaller than the estimated frequency for each of the other cells.
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