Statistics – Methodology
Scientific paper
2010-06-08
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.
Lang Gabriel
Marcon Eric
No associations
LandOfFree
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.
Profile ID: LFWR-SCP-O-30346