4 problems

Let $(X_t)_{t \in \mathbb{Z}}$ be a max-stable stationary time series with $\alpha$-Fréchet margins and pairwise extremal coefficients $(\theta_t)_{t \in \mathbb{Z}}$. Let $p(u_n)$…

Let $(X_t)_{t \in \mathbb{Z}}$ be a max-stable stationary time series with $\alpha$-Fréchet margins and pairwise extremal coefficients $(\theta_t)_{t \in \mathbb{Z}}$. Assume that…

Let $B^+(t)$, $t\in [0,\infty)$, and $W(t)$, $t\in \mathbb{R}$, be as in the Lévy construction above, with $W$ formed from two independent Lévy processes and with the corresponding…

Let $\eta$ be a stationary max-stable random field, and let $C(0)$ denote its cell containing the origin. The field is strongly $\beta$-mixing if for every compact set…