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We investigate the tail asymptotic behavior of the sojourn time for a large class of centered Gaussian processes X, in both continuous-and discrete-time framework. All results obtained here are new for the discrete-time case. In the continuous-time case, we complement the investigations of [1, 2] for non-stationary X. A by-product of our investigation is a new representation of Pickands constant which is important for Monte-Carlo simulations and yields a sharp lower bound for Pickands constant.

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