No-Tie Conditions for Large Values of Extremal Processes

Ipsen, Yuguang; Maller, Ross

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No-Tie Conditions for Large Values of Extremal Processes

Date

2021

Authors

Ipsen, Yuguang

Maller, Ross

Publisher

Birkhäuser Cham

Abstract

We give necessary and sufficient conditions for there to be no ties, asymptotically, among large values of a space-time Poisson point process evolving homogeneously in time. The convergence is at small times, in probability or almost sure.