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Using a point process approach we establish weak convergence of the process $Y_n(t)=a_n(M_{[nt]}-b_n)$ to an extremal process $Y(t)$ for suitable scaling constants $a_n,b_n\\in\\mathbb{R}$. Convergence here taking place in the Skorokhod space $\\mathbb{D}(0,\\infty)$ with the $J_1$ topology. 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