This paper characterizes admissible linear estimators of multiple Poisson parameters under entropy loss. Estimators dominating some of the standard estimators are given. Further, hierarchical Bayes estimators are generated and conditions under which they dominate the standard estimators are also given. Monte Carlo simulations are undertaken to indicate the extent of the risk dominance.
"Simultaneous Estimation of Poisson Means Under Entropy Loss." Ann. Statist. 16 (1) 278 - 291, March, 1988. https://doi.org/10.1214/aos/1176350705