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The article addresses the parametric estimation of multicomponent seismic waves. The approach of parametric separation based on the maximum likelihood estimator (MLE) is introduced, and the a priori information is obtained by the down-going waves in vertical seismic profile (VSP) data. First, we recall the MLE method. Then the Bayesian approach is introduced, and finally, we show on synthetic seismic data that the estimation of velocities of up-going waves is improved.