Testing for Spatial Association between a Point Process and Another Stochastic Process

Mark Berman

Journal of the Royal Statistical Society Series C, 1986, vol. 35, issue 1, 54-62

Abstract: Motivated by a problem in geology, this paper proposes some tests of the spatial association between a point process and some other stochastic process of geometric structures, G. All the tests are performed conditionally on the realization of G. Under the null hypothesis that the point process is a stationary Poisson process independent of G, some of these statistics have well‐known distributional properties, even in small samples. The Poisson assumption is relaxed using a conditional Monte Carlo test suggested by Lotwick and Silverman (1982). The tests are applied to a geological data set.

Date: 1986
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