We use Haff's fundamental identity to express the expectation of Sp in lower-order terms, where S follows the central Wishart distribution.
@article{urn:eudml:doc:42051,
title = {A recursion formula for expected negative and positive powers of the central Wishart distribution.},
journal = {SORT},
volume = {31},
year = {2007},
pages = {201-206},
zbl = {1274.62356},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42051}
}
Neudecker, Heinz. A recursion formula for expected negative and positive powers of the central Wishart distribution.. SORT, Tome 31 (2007) pp. 201-206. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42051/