Infill asymptotics for logistic regression estimators for spatio-temporal point processes
Statistics Theory
2022-08-26 v1 Statistics Theory
Abstract
This paper discusses infill asymptotics for logistic regression estimators for spatio-temporal point processes whose intensity functions are of log-linear form. We establish strong consistency and asymptotic normality for the parameters of a Poisson point process model and demonstrate how these results can be extended to general point process models. Additionally, under proper conditions, we also extend our central limit theorem to other unbiased estimating equations that are based on the Campbell--Mecke theorem.
Cite
@article{arxiv.2208.12080,
title = {Infill asymptotics for logistic regression estimators for spatio-temporal point processes},
author = {M. N. M. van Lieshout and C. Lu},
journal= {arXiv preprint arXiv:2208.12080},
year = {2022}
}
Comments
22 pages