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Article Dans Une Revue Stochastic Analysis and Applications Année : 2009

Approximations of a Continuous Time Filter. Application to Optimal Allocation Problems in Finance

Résumé

In this article, we study a continuous time optimal filter and its various numerical approximations. This filter arises in an optimal allocation problem in the particular context of a non-stationary economy. We analyse the rates of convergence of the approximations of the filter when the model is misspecified and when the observations can only be made at discrete times. We give bounds that are uniform in time. Numerical results are presented.
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Dates et versions

hal-00601938 , version 1 (21-06-2011)

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Miguel Martinez, Sylvain Rubenthaler, Etienne Tanré. Approximations of a Continuous Time Filter. Application to Optimal Allocation Problems in Finance. Stochastic Analysis and Applications, 2009, 27 (2), pp.270-296. ⟨10.1080/07362990802678846⟩. ⟨hal-00601938⟩
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