Goodness-of-fit test for point processes first-order intensity Borrajo, M. I. González Manteiga, W. Martínez Miranda, María Dolores Point processes First-order intensity Goodness-of-fit 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 finitesample performance. 2024-06-12T09:08:12Z 2024-06-12T09:08:12Z 2024-02-01 journal article Borrajo, M. I., W. González-Manteiga, and M. D. Martínez-Miranda. Goodness-of-fit test for point processes first-order intensity. Computational Statistics and Data Analysis 194 (2024) 107929 [10.1016/j.csda.2024.107929] https://hdl.handle.net/10481/92525 10.1016/j.csda.2024.107929 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier