Quantitative Breuer-Major Theorems

Ivan Nourdin, Giovanni Peccati, Mark Podolskij

We consider sequences of random variables of the type $S_n= n^{-1/2} \sum_{k=1}^n \{f(X_k)-\E[f(X_k)]\}$, $n\ge 1$, where $X=(X_k{)}_{k\in \mathbb{Z}}$ is a $d$-dimensional Gaussian process…