e marchand - university of new brunswick, canada

for the problem of estimating under squared error loss the mean of a p-variate spherically symmetric destribution where the mean lies in a ball of radius m,a sufficient condition for an estimator to dominate the maximum likelihood estimator is obtained.

maximum likelihood estimator, restricted parameter space squared error loss, dominance , simultaneous dominance , spherically symmetric distribution, scale mixture of normals , multivariate student distribution.