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/