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Nonlinear filtering equations for two-parameter semimartingales
Authors:H. Korezlioglu  G. Mazziotto  J. Szpirglas
Affiliation:École Nationale Supérieure des Télécommunications, 46, Rue Barrault, 75634 Paris Cédex 13, France;Centre National d''Etudes des Télécommunications, PAA/TIM/MTI, 92131 Issy-les-Moulineaux, France
Abstract:Nonlinear filtering equations for two-parameter semimartingales of a Brownian sheet are obtained by an extended reference probability method, also applicable to the known Gaussian linear models.
Keywords:Two-parameter semimartingale  Brownian sheet  nonlinear filtering  reference probability
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