  We describe a set of new estimators for the N-point correlation functions of
point processes. The variance of these estimators is calculated for the Poisson
and binomial cases. It is shown that the variance of the unbiased estimator
converges to the continuum value much faster than with any previously used
alternative, all terms with slower convergence exactly cancel. We compare our
estimators with Ripley's $\tK_0$ and $\tK_2$.
