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1 Extreme Value Theory for Space Extreme Value Theory for Space - - Time Processes Time Processes With Heavy With Heavy - - Tailed Distributions Tailed Distributions Richard A. Davis Colorado State University www.stat.colostate.edu/~rdavis Thomas Mikosch University of Copenhagen

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Page 1: Extreme Value Theory for Space-Time Processes With Heavy ...rdavis/lectures/Aveiro_04.pdf · Extreme Value Theory for Space-Time Processes With Heavy-Tailed Distributions ... is stationary

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Extreme Value Theory for SpaceExtreme Value Theory for Space--Time ProcessesTime ProcessesWith HeavyWith Heavy--Tailed DistributionsTailed Distributions

Richard A. DavisColorado State University

www.stat.colostate.edu/~rdavis

Thomas MikoschUniversity of Copenhagen

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110 5 10 15 20

x_1

010

2030

40

x_2

Figure: plot of (Zt1,Zt2) for realization of 10,000.

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12-10 0 10 20 30x_t

-10

010

2030

x_{t+

1}Figure: plot of (Zt, Zt+1) for realization of 10,000.

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