The main aim is to estimate the noncentrality matrix of a noncentral Wishart distribution. The method used is Leung's but generalized to a matrix loss function. Parallelly Leung's scalar noncentral Wishart identity is generalized to become a matrix identity. The concept of Löwner partial ordering of symmetric matrices is used.
@article{urn:eudml:doc:40458, title = {Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.}, journal = {SORT}, volume = {28}, year = {2004}, pages = {191-200}, mrnumber = {MR2116191}, zbl = {1274.62374}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40458} }
Neudecker, Heinz. Estimation of the noncentrality matrix of a noncentral Wishart distribution with unit scale matrix. A matrix generalization of Leung's domination result.. SORT, Tome 28 (2004) pp. 191-200. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40458/