Simultaneous Estimation of the Means in Some Poisson Log Linear Models

Hisayuki Hara; Akimichi Takemura

doi:10.14490/jjss.36.17

Articles

Simultaneous Estimation of the Means in Some Poisson Log Linear Models

著者情報

キーワード: Bayes estimation, decomposable Poisson model, multiplicative Poisson model, shrinkage estimation, unbiased estimation of risk difference

ジャーナルフリー

2006 年 36 巻 1 号 p. 17-36

DOI https://doi.org/10.14490/jjss.36.17

詳細

抄録

In this article we study the simultaneous estimation of the Poisson means in J-way multiplicative models and a decomposable model for three-way layouts. The estimators which improve on the maximum likelihood estimators under the normalized squared error losses are provided for each model. The proposed estimators correspond to the ones by Clevenson and Zidek (1975), Tsui and Press (1982) and Chou (1991).

責任著者(Corresponding author)

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