I am currently dealing with an expression of the form
$\operatorname E[\Pi_{i=1}^n X_i]$,
where $\operatorname E$ represents the expectation value and $X_i$ is an arbitrary random variable. However, for $n>2$, I can not find any information about this specific expression anywhere.
So my question is: Does the general expectation value of a product of $n$ random variables have a specific name? And where can I find something about it in the literature? I emphasize that I am not particularly interested in the explicit calculation, which seems clear to me in principle, but would rather like to have some kind of reference.
Remark: I have found this webpage, where a "three-way covariance" is introduced. A comment on this page refered to coskewness as an implementation. However, I can not really establish a connection.