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- W3159202203 abstract "For a given stationary max-stable random field X(t), t ∈ ℤd, the corresponding generalized Pickands constant coincideswith the classical extremal index θX ∈ [0, 1]. In this contribution,we discuss necessary and sufficient conditions for θX to be 0, positive, or equal to 1 and also show that θX is equal to the so-called block extremal index. Further, we consider some general functional indices of X and prove that for a large class of functionals they coincide with θX." @default.
- W3159202203 created "2021-05-10" @default.
- W3159202203 creator A5017589083 @default.
- W3159202203 date "2021-04-01" @default.
- W3159202203 modified "2023-10-14" @default.
- W3159202203 title "On Extremal Index of Max-Stable Random Fields" @default.
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- W3159202203 doi "https://doi.org/10.1007/s10986-021-09519-8" @default.
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