A limit theorem for selectors

Francisco Durango, José L. Fernández, Pablo Fernández +1

Any (measurable) function $K$ from ${\mathbb{R}}^n$ to $\mathbb{R}$ defines an operator $\mathbf{K}$ acting on random variables $X$ by $\mathbf{K}(X)=K(X_1,\dots ,X_n)$, where the…