@misc{10481/92525,
year = {2024},
month = {2},
url = {https://hdl.handle.net/10481/92525},
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 finitesample
performance.},
organization = {Grant PID2020-116587GB-I00 funded by MCIN/AEI/10.13039/501100011033},
publisher = {Elsevier},
keywords = {Point processes},
keywords = {First-order intensity},
keywords = {Goodness-of-fit},
title = {Goodness-of-fit test for point processes first-order intensity},
doi = {10.1016/j.csda.2024.107929},
author = {Borrajo, M. I. and González Manteiga, W. and Martínez Miranda, María Dolores},
}