Asymptotic behavior for quadratic variations of non-Gaussian multiparameter Hermite random fields

T. T. Diu Tran

Let $(Z_t^{q,H}{)}_{t\in [0,1{]}^d}$ denote a $d$-parameter Hermite random field of order $q\ge 1$ and self-similarity parameter $H=(H_1,\dots ,H_d)\in (\frac{1}{2},1{)}^d$. T…