\int_{\textbf{R}^{n d}}f(x_1,\dots,x_n) M^n(dx_1,\dots,dx_n)=E \left[ \sum_{(x_1,\dots,x_n)\in {N} } f(x_1,\dots,x_n) \right], .
where \textstyle f is any non-negative measurable function on \textstyle \textbf{R}^{n d} and the sum is over \textstyle n-tuples of points for which repetition is allowed.