A survey of some recent results on nonparametric on-line estimation is presented. The first result deals with an on-line estimation for a smooth signal S(t) in the classic 'signal plus Gaussian white noise' model. Then an analogous on-line estimator for the regression estimation problem with equidistant design is described and justified. Finally some preliminary results related to the on-line estimation for the diffusion observed process are described.
@article{urn:eudml:doc:40447,
title = {On-line nonparametric estimation.},
journal = {SORT},
volume = {28},
year = {2004},
pages = {1-8},
mrnumber = {MR2076032},
zbl = {1274.62243},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40447}
}
Khasminskii, Rafail. On-line nonparametric estimation.. SORT, Tome 28 (2004) pp. 1-8. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40447/