Remarks on limit theorems for nonlinear functionals of Gaussian sequences (Q1074216)

Limit theorems for sums of nonlinear functionals of Gaussian sequences typically obtain as limit distribution that of a single term in an expansion given by \textit{R. L. Dobrushin} [Ann. Probab. 7, 1-28 (1979; Zbl 0392.60039)] for a process subordinate to a Gaussian process. Here we show how one can obtain limit theorems of this type where the limit distribution is that of a full expansion of Dobrushin's type.