Parameter Estimation for Controlled Semilinear Stochastic Systems: Identifiability and Consistency
We consider a controlled stochastic semilinear evolution equation with the drift depending on the unknown parameter. We show that the maximum likelihood estimator is strongly consistent for a class of bounded predictable controls.
Year of publication: |
2002
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Authors: | Goldys, B. ; Maslowski, B. |
Published in: |
Journal of Multivariate Analysis. - Elsevier, ISSN 0047-259X. - Vol. 80.2002, 2, p. 322-343
|
Publisher: |
Elsevier |
Keywords: | semilinear stochastic evolution equation maximum likelihood estimator identifiability invariant measure strong law of large numbers transition semigroup infinitesimal generator |
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