papers

Publications (42)

stat.AP2011

Spatial models generated by nested stochastic partial differential equations, with an application to global ozone mapping

David Bolin, Finn Lindgren

A new class of stochastic field models is constructed using nested stochastic partial differential equations (SPDEs). The model class is computationally efficient, applicable to da…

stat.CO2011

Fast approximate inference with INLA: the past, the present and the future

Daniel Simpson, Finn Lindgren, HÃ¥vard Rue

Latent Gaussian models are an extremely popular, flexible class of models. Bayesian inference for these models is, however, tricky and time consuming. Recently, Rue, Martino and Ch…

stat.ME2026

Spatially continuous modelling of aggregated outcome data

Stephen Jun Villejo, Peter Diggle, Finn Lindgren +5

This work develops a block aggregation approach to spatial estimation and prediction when the response is observed at a coarse spatial scale, for example as counts of events in adm…

stat.ME2025

Validating uncertainty propagation approaches for two-stage Bayesian spatial models using simulation-based calibration

Stephen Jun Villejo, Sara Martino, Janine Illian +2

This work tackles the problem of uncertainty propagation in two-stage Bayesian models, with a focus on spatial applications. A two-stage modeling framework has the advantage of bei…

stat.CO2017

Calculating probabilistic excursion sets and related quantities using excursions

David Bolin, Finn Lindgren

The R software package excursions contains methods for calculating probabilistic excursion sets, contour credible regions, and simultaneous confidence bands for latent Gaussian sto…

stat.ME2025

Joint Modelling of Line and Point Data on Metric Graphs

Karina Lilleborge, Sara Martino, Geir-Arne Fuglstad +2

Metric graphs are useful tools for describing spatial domains like road and river networks, where spatial dependence act along the network. We take advantage of recent developments…