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We define power variation estimators for the drift parameter of thestochastic heat equation with the fractional Laplacian and an additive Gaussiannoise which is white in time and white or correlated in space. We prove thatthese estimators are consistent and asymptotically normal and we derive theirrate of convergence under the Wasserstein metric.

Estimation of the drift parameter for the fractional stochastic heat equation via power variation