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This article is cited in 3 scientific papers (total in 3 papers)
On Continuous Time Ergodic Filters with Wrong Initial Data
A. Yu. Veretennikova, M. L. Kleptsynab a Institute for Information Transmission Problems, Russian Academy of Sciences
b M. V. Lomonosov Moscow State University
Abstract:
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.
Received: 16.03.2006
Citation:
A. Yu. Veretennikov, M. L. Kleptsyna, “On Continuous Time Ergodic Filters with Wrong Initial Data”, Teor. Veroyatnost. i Primenen., 53:2 (2008), 240–276; Theory Probab. Appl., 53:2 (2009), 269–300
Linking options:
https://www.mathnet.ru/eng/tvp2408https://doi.org/10.4213/tvp2408 https://www.mathnet.ru/eng/tvp/v53/i2/p240
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Abstract page: | 539 | Full-text PDF : | 186 | References: | 103 |
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