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Minimum distance estimator for a hyperbolic stochastic partial differentialequation

Vincent Monsan, Modeste N'zi (2000)

Applicationes Mathematicae

We study a minimum distance estimator in L 2 -norm for a class ofnonlinear hyperbolic stochastic partial differential equations, driven by atwo-parameter white noise. The consistency and asymptotic normality of thisestimator are established under some regularity conditions on thecoefficients. Our results are applied to the two-parameterOrnstein-Uhlenbeck process.

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