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Goodness-of-fit test for point processes first-order intensity

M.I. Borrajo, W. González-Manteiga and M.D. Martínez-Miranda

Computational Statistics & Data Analysis, 2024, vol. 194, issue C

Abstract: Modelling the first-order intensity function is one of the main aims in point process theory. An appropriate model describes the first-order intensity as a nonparametric function of spatial covariates. A formal testing procedure is presented to assess the goodness-of-fit of this model, assuming an inhomogeneous Poisson point process. The test is based on a quadratic distance between two kernel intensity estimators. The asymptotic normality of the test statistic is proved and a bootstrap procedure to approximate its distribution is suggested. The proposal is illustrated with two applications to real data sets, and an extensive simulation study to evaluate its finite-sample performance.

Keywords: Point processes; First-order intensity; Goodness-of-fit; Covariates (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:194:y:2024:i:c:s0167947324000136

DOI: 10.1016/j.csda.2024.107929

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