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Functional transfer theorems for maxima of iid random variables. (English) Zbl 1059.60066

Limit theorems for a sequence of extremal processes associated with a Bernoulli point process with random time and space points are presented. Functional transfer theorems for the maximum of independent and identically distributed random variables are proved.

MSC:

60G70 Extreme value theory; extremal stochastic processes
60G52 Stable stochastic processes
60G55 Point processes (e.g., Poisson, Cox, Hawkes processes)
60F05 Central limit and other weak theorems
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