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/