Borrajo García, María IsabelGonzález Manteiga, WenceslaoMartínez Miranda, María Dolores2024-03-212024-03-212024Borrajo, González-Manteiga, & Martínez-Miranda. (2024). Goodness-of-fit test for point processes first-order intensity. Computational Statistics and Data Analysis, 194. https://doi.org/10.1016/J.CSDA.2024.1079290167-9473http://hdl.handle.net/10347/33261Modelling 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.eng© 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/Point processesFirst-order intensityGoodness-of-fitCovariatesjournal article10.1016/j.csda.2024.107929open access