Simultaneous Estimation of the Means in Some Poisson Log Linear Models
Hisayuki Hara, Akimichi Takemura · JOURNAL OF THE JAPAN STATISTICAL SOCIETY · 2006
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).