What does this research mean for the field?

The proposed Weighted Poisson Intensity approach effectively incorporates real-valued marks into first-order intensity modeling of spatial point processes without requiring a full probabilistic specification of their marginal distribution. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

Develop a weighted Poisson intensity framework that incorporates real-valued marks into first-order spatial intensity estimation without requiring full probabilistic specification of the marginal mark distribution.

September 8, 2026StatisticsOpen Access

Weighted Poisson intensity modelling for marked point processes with real-valued marks

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Authors

MTMarco TarantinoUniversity of Palermo NDNicoletta D'Angelo OCOttmar CronieChalmers University of Technology

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Implication

Simulation study demonstrates flexible first-order intensity estimation using weighted Poisson models with real-valued marks, highlighting robust spatial modeling without full marginal specifications.

Key Points

Develop a weighted Poisson intensity framework that incorporates real-valued marks into first-order spatial intensity estimation without requiring full probabilistic specification of the marginal mark distribution.
Formulated a baseline Poisson intensity model augmented with a non-negative mark contribution under two perspectives: a joint location-mark Parametric Marked Poisson model and a spatially reconstructed Semi-parametric Marked Poisson model.
Evaluated the framework using simulation experiments on Poisson and clustered point processes across diverse mark-generating mechanisms, complemented by applications to real-world spatial datasets.
Both parametric and semi-parametric configurations successfully linked real-valued marks to first-order spatial intensity without requiring full marginal distribution modeling.
Simulation across Poisson and clustered processes confirmed the approach accurately reflects mark-intensity associations under differing mark-generating structures.

Cite This Study

Tarantino et al. (2026) studied this question.

synapsesocial.com/papers/6a9fd7b758e84d0ff5b469d5 https://doi.org/10.1080/02331888.2026.2726452

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Weighted Poisson intensity modelling for marked point processes with real-valued marks

Discussion

Member takes

Implication

Key Points

Cite This Study

Weighted Poisson intensity modelling for marked point processes with real-valued marks

Discussion

Member takes

Implication

Key Points

Cite This Study

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