On Continuous Time Ergodic Filters with Wrong Initial Data
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 240-276
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For a class of nonuniformly ergodic Markov diffusions, under observations subject to a Wiener noise, it is shown that a wrong initial data is forgotten with a certain rate in certain topologies.
Keywords:
Markov diffusion filters, initial data robustness, misspecified problems.
@article{TVP_2008_53_2_a2,
author = {A. Yu. Veretennikov and M. L. Kleptsyna},
title = {On {Continuous} {Time} {Ergodic} {Filters} with {Wrong} {Initial} {Data}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {240--276},
publisher = {mathdoc},
volume = {53},
number = {2},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a2/}
}
TY - JOUR AU - A. Yu. Veretennikov AU - M. L. Kleptsyna TI - On Continuous Time Ergodic Filters with Wrong Initial Data JO - Teoriâ veroâtnostej i ee primeneniâ PY - 2008 SP - 240 EP - 276 VL - 53 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a2/ LA - ru ID - TVP_2008_53_2_a2 ER -
A. Yu. Veretennikov; M. L. Kleptsyna. On Continuous Time Ergodic Filters with Wrong Initial Data. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 2, pp. 240-276. http://geodesic.mathdoc.fr/item/TVP_2008_53_2_a2/