### Testing randomness of spatial point patterns with the Ripley statistic

Aggregation patterns are often visually detected in sets of location data. These clusters may be the result of interesting dynamics or the effect of pure randomness. We build an asymptotically Gaussian test for the hypothesis of randomness corresponding to a homogeneous Poisson point process. We first compute the exact first and second moment of the Ripley -statistic under the homogeneous Poisson point process model. Then we prove the asymptotic normality of a vector of such statistics for different...