Simultaneous Estimation of the Means in Some Poisson Log Linear Models

  • Hara Hisayuki
    Department of Geosystem Engineering, Graduate School of Technology, University of Tokyo
  • Takemura Akimichi
    Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo

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説明

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).

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