Abstract

We consider a d-parameter Hermite process with Hurst index H=(H1,..,Hd)∈12,1d and we study its limit behavior in distribution when the Hurst parameters Hi,i=1,..,d (or a part of them) converge to 12 and/or 1. The limit obtained is Gaussian (when at least one parameter tends to 12) and non-Gaussian (when at least one-parameter tends to 1 and none converges to 12).

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