Statistics of Extremes: Animation 6

An animation from the 2015 review by A.C. Davison and R. Huser, "Statistics of Extremes," from the Annual Review of Statistics and Its Application.

Illustration of the construction and simulation of a max-stable process, here a unidimensional Smith model. A large (but in theory, infinite) number of random storms with random decreasing sizes are generated (light gray curves), and the resulting max-stable process corresponds to the pointwise supremum (black curve).