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Testing for anisotropy in spatial point processes

We propose a wavelet based hypothesis test for assessing isotropy in spatial point processes. We use the empirical logarithm of directional scalogram to build the test statistic. Under the null hypothesis of isotropy, a random point pattern should be expected to have the same value of the directional scalogram for all possible directions. Hence, Monte Carlo simulations of the logarithm of directional scalograms over all directions are used to approximate the test distribution and the critical values. Artificial and real data are then used to show the method.