A goodness-of-fit test for inhomogeneous spatial Poisson processes

Yongtao Guan

Biometrika, 2008, vol. 95, issue 4, 831-845

Abstract: We introduce a formal testing procedure to assess the fit of an inhomogeneous spatial Poisson process model, based on a discrepancy measure function that is constructed from residuals obtained from the fitted model. We derive the asymptotic distributional properties of and develop a test statistic based on them. Our test statistic has a limiting standard normal distribution, so that the test can be performed by simply comparing the test statistic with readily available critical values. We perform a simulation study to assess the performance of the proposed method and apply it to a real data example. Copyright 2008, Oxford University Press.

Date: 2008
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