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.