Extremal behavior of squared Bessel processes attracted by the Brown-Resnick process

The convergence of properly time-scaled and normalized maxima of independent standard Brownian motions to the Brown-Resnick process is well-known in the literature. In this paper, we study the extremal functional behavior of non-Gaussian processes, namely squared Bessel processes and scalar products of Brownian motions. It is shown that maxima of independent samples of those processes converge weakly on the space of continuous functions to the Brown-Resnick process. (C) 2014 Elsevier B.V. All rights reserved.


Published in:
Stochastic Processes And Their Applications, 125, 2, 780-796
Year:
2015
Publisher:
Amsterdam, Elsevier Science Bv
ISSN:
0304-4149
Keywords:
Laboratories:




 Record created 2015-05-29, last modified 2018-01-28


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