Testing randomness of spatial point patterns with the Ripley statistic

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

2010-06-08

arxiv.org/abs/1006.1567v1

Statistics

Methodology

26 pages, 3 figures, 2 tables

Scientific paper

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 Poisson point process. We first compute the exact first and second moment of the Ripley K-statistic under the homogeneous Poisson point process model. Then we prove the asymptotic normality of a vector of such statistics for different scales and compute its covariance matrix. From these results, we derive a test statistic that is chi-square distributed. By a Monte-Carlo study, we check that the test is numerically tractable even for large data sets and also correct when only a hundred of points are observed.

Affiliated with

Also associated with

No associations

Rating

Testing randomness of spatial point patterns with the Ripley statistic does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Testing randomness of spatial point patterns with the Ripley statistic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Testing randomness of spatial point patterns with the Ripley statistic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30346