Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-03-09
Astronomy and Astrophysics
Astrophysics
11 pages, submitted to Journal of Applied Probability
Scientific paper
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 $\tK_2$.
Szalay Alexander S.
Szapudi István
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