Semi-parametric profile pseudolikelihood via local summary statistics for spatial point pattern intensity estimation
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909171315638272 |
|---|---|
| author | D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge Cronie, Ottmar |
| author_facet | D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge Cronie, Ottmar |
| contents | Second-order statistics play a crucial role in analysing point processes. Previous research has specifically explored locally weighted second-order statistics for point processes, offering diagnostic tests in various spatial domains. However, there remains a need to improve inference for complex intensity functions, especially when the point process likelihood is intractable and in the presence of interactions among points. This paper addresses this gap by proposing a method that exploits local second-order characteristics to account for local dependencies in the fitting procedure. Our approach utilises the Papangelou conditional intensity function for general Gibbs processes, avoiding explicit assumptions about the degree of interaction and homogeneity. We provide simulation results and an application to real data to assess the proposed method's goodness-of-fit. Overall, this work contributes to advancing statistical techniques for point process analysis in the presence of spatial interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10344 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Semi-parametric profile pseudolikelihood via local summary statistics for spatial point pattern intensity estimation D'Angelo, Nicoletta Adelfio, Giada Mateu, Jorge Cronie, Ottmar Methodology Second-order statistics play a crucial role in analysing point processes. Previous research has specifically explored locally weighted second-order statistics for point processes, offering diagnostic tests in various spatial domains. However, there remains a need to improve inference for complex intensity functions, especially when the point process likelihood is intractable and in the presence of interactions among points. This paper addresses this gap by proposing a method that exploits local second-order characteristics to account for local dependencies in the fitting procedure. Our approach utilises the Papangelou conditional intensity function for general Gibbs processes, avoiding explicit assumptions about the degree of interaction and homogeneity. We provide simulation results and an application to real data to assess the proposed method's goodness-of-fit. Overall, this work contributes to advancing statistical techniques for point process analysis in the presence of spatial interactions. |
| title | Semi-parametric profile pseudolikelihood via local summary statistics for spatial point pattern intensity estimation |
| topic | Methodology |
| url | https://arxiv.org/abs/2404.10344 |