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Maxima of linear processes with heavy-tailed innovations and random coefficients

We investigate maxima of linear processes with i.i.d. heavy-tailed innovations and random coefficients. Using the point process approach we derive functional convergence of the partial maxima stochastic process in the space of non- decreasing càdlàg functions on [0, 1] with the Skorokhod M1 topology.

functional limit theorem ; regular variation ; extremal process ; M_1 topology ; linear process

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