= Correlation function of a point process
{title2=$R_k$}
= Correlation functions of a point process
{synonym}
The $k$th correlation <function> is the density of the $k$th <factorial> moment measure: integrating a nonnegative test <function> against $R_k$ gives the <expectation> of its sum over ordered $k$-tuples of distinct points. For exactly $m$ exchangeably labelled points with symmetric joint density $f_m$, it is $m!/(m-k)!$ times the marginal density of $k$ labels. It is not normalized to have total mass one.
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