This paper aims to enhance the inference for spatial point processes' intensity function when complex interactions among points play a crucial role. We exploit local characteristics into the inferential procedure of maximising a regularised Poisson likelihood, penalised by the degree of interaction among points. The experiments conducted emphasize the importance of local second-order characteristics in improving inference for complex spatial point processes.

Nicoletta D'Angelo, Giada Adelfio, Jorge Mateu, Ottmar Cronie (2025). Constructed functional marks for spatial point process intensity estimation. In A. Pollice, P. Mariani (a cura di), Methodological and Applied Statistics and Demography II. SIS 2024, Short Papers, Solicited Sessions [10.1007/978-3-031-64350-7_81].

Constructed functional marks for spatial point process intensity estimation

Nicoletta D'Angelo
;
Giada Adelfio;
2025-01-01

Abstract

This paper aims to enhance the inference for spatial point processes' intensity function when complex interactions among points play a crucial role. We exploit local characteristics into the inferential procedure of maximising a regularised Poisson likelihood, penalised by the degree of interaction among points. The experiments conducted emphasize the importance of local second-order characteristics in improving inference for complex spatial point processes.
2025
978-3-031-64349-1
Nicoletta D'Angelo, Giada Adelfio, Jorge Mateu, Ottmar Cronie (2025). Constructed functional marks for spatial point process intensity estimation. In A. Pollice, P. Mariani (a cura di), Methodological and Applied Statistics and Demography II. SIS 2024, Short Papers, Solicited Sessions [10.1007/978-3-031-64350-7_81].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/632673
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