On the admissibility of estimators of the zero class in poisson populations
Ahmad Parsian · Communications in Statistics - Simulation and Computation · 1988
Let T = x1+ x2 + … + xn where x1,…, xn are independent and identically distributed randon variables each having a poission distribution with mean θ. It is proved that each of the estimators ((n+k−1)/(n+k))T, k = 0,1,2,… is admissible for estimating exp(−θ) when the loss function is squared error.