Geodesic
Gaussian copula time series with heavy tails and strong time dependence
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 3-7

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A class of functions $f$ is described for which the random variable $X=f(\xi)$, where $\xi$ is a standard normal random variable, belongs to Fréchet maximum domain of attraction. For any $f$ from this class, a limit theorem for the maximum of the sequence $X(k)=f(\xi_{k})$, $k=1,2,\dots$, is proved, where $\xi_{k}$ is a Gaussian stationary sequence with a slowly decreasing correlation. 
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     author = {A. E. Mazur and V. I. Piterbarg},
     title = {Gaussian copula time series with heavy tails and strong time dependence},
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A. E. Mazur; V. I. Piterbarg. Gaussian copula time series with heavy tails and strong time dependence. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 3-7. http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a0/