Inhomogeneous interacting marked point processes for studying morphostructures in paleobiological data.

@inproceedings{astaburuaga_inhomogeneous_RM2024,
 abstract = {This paper presents inhomogeneous marked point processes with multiple interactions that are applied to the analysis of morphostructures exhibited by a paleo-biological dataset presented in Kolesnikov (2018). Specifically, due to the nature of the dataset, we model the probability density function describing the models by considering three effects: the distance to the nearest edge, the distance to the lower right corner, and the distance to a reference point. Furthermore, interactions between the points through the observed marks are introduced. This is done using the Strauss and Area-Interaction processes. Such models can have between three and five parameters that must be estimated. The proposed procedure is as follows. First, the sufficient statistics of the proposed model are computed from the data. Then, posterior sampling of the parameters is performed using the ABC Shadow algorithm. Next, the quality of the estimation is assessed by calculating the estimation errors and evaluating the significance of the model parameters. Finally, the model is verified using envelope tests.},
 author = {Astaburuaga, D and Stoica, R S and Gemmerle, D and Cuevas-Pacheco, F},
 booktitle = {Proc. 2024 RING Meeting},
 language = {en},
 pages = {17},
 publisher = {ASGA},
 title = {Inhomogeneous interacting marked point processes for studying morphostructures in paleobiological data.},
 year = {2024}
}