We present a review of several results concerning invariant density estimation by observations of ergodic diffusion process and some related problems. In every problem we propose a lower minimax bound on the risks of all estimators and then we construct an asymptotically efficient estimator.
@article{urn:eudml:doc:40455,
title = {On invariant density estimation for ergodic diffusion processes.},
journal = {SORT},
volume = {28},
year = {2004},
pages = {111-124},
mrnumber = {MR2116187},
zbl = {1274.62551},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40455}
}
Kutoyants, Yuri A. On invariant density estimation for ergodic diffusion processes.. SORT, Tome 28 (2004) pp. 111-124. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40455/