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We present a novel approach for the analysis of multivariate case-control georeferenced data using Bayesian inference in the context of disease mapping, where the spatial distribution of different types of cancers is analyzed. Extending…

In recent years, spatial and spatio-temporal modeling have become an important area of research in many fields (epidemiology, environmental studies, disease mapping). In this work we propose different spatial models to study hospital…

Applications · Statistics 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

This paper proposes a two-stage estimation approach for a spatial misalignment scenario that is motivated by the epidemiological problem of linking pollutant exposures and health outcomes. We use the integrated nested Laplace approximation…

Methodology · Statistics 2022-07-21 Stephen Jun Villejo , Janine B Illian , Ben Swallow

Spatially misaligned data can be fused by using a Bayesian melding model that assumes that underlying all observations there is a spatially continuous Gaussian random field process. This model can be used, for example, to predict air…

Methodology · Statistics 2024-06-06 Ruiman Zhong , André Victor Ribeiro Amaral , Paula Moraga

Modeling longitudinal and survival data jointly offers many advantages such as addressing measurement error and missing data in the longitudinal processes, understanding and quantifying the association between the longitudinal markers and…

The scientific rigor and computational methods of causal inference have had great impacts on many disciplines, but have only recently begun to take hold in spatial applications. Spatial casual inference poses analytic challenges due to…

Methodology · Statistics 2020-07-07 Brian J Reich , Shu Yang , Yawen Guan , Andrew B Giffin , Matthew J Miller , Ana G Rappold

The integrated nested Laplace approximation (INLA) method has become a popular approach for computationally efficient approximate Bayesian computation. In particular, by leveraging sparsity in random effect precision matrices, INLA is…

Methodology · Statistics 2024-07-02 Finn Lindgren , Fabian Bachl , Janine Illian , Man Ho Suen , Håvard Rue , Andrew E. Seaton

In employing spatial regression models for counts, we usually meet two issues. First, ignoring the inherent collinearity between covariates and the spatial effect would lead to causal inferences. Second, real count data usually reveal over…

Methodology · Statistics 2021-05-21 Mahsa Nadifar , Hossein Baghishani , Afshin Fallah

Bayesian hierarchical models with latent Gaussian layers have proven very flexible in capturing complex stochastic behavior and hierarchical structures in high-dimensional spatial and spatio-temporal data. Whereas simulation-based Bayesian…

Methodology · Statistics 2017-08-10 Thomas Opitz

Integrated Nested Laplace Approximations (INLA) has been a successful approximate Bayesian inference framework since its proposal by Rue et al. (2009). The increased computational efficiency and accuracy when compared with sampling-based…

Methodology · Statistics 2025-10-02 Janet van Niekerk , Elias Krainski , Denis Rustand , Haavard Rue

This paper develops methodology that provides a toolbox for routinely fitting complex models to realistic spatial point pattern data. We consider models that are based on log-Gaussian Cox processes and include local interaction in these by…

Applications · Statistics 2013-01-10 Janine B. Illian , Sigrunn H. Sørbye , Håvard Rue

We address in this paper a new approach for fitting spatiotemporal models with application in disease mapping using the interaction types 1,2,3, and 4. When we account for the spatiotemporal interactions in disease-mapping models, inference…

Methodology · Statistics 2022-06-22 Esmail Abdul Fattah , Haavard Rue

The conditional extremes framework allows for event-based stochastic modeling of dependent extremes, and has recently been extended to spatial and spatio-temporal settings. After standardizing the marginal distributions and applying an…

Methodology · Statistics 2024-03-26 Emma S. Simpson , Thomas Opitz , Jennifer L. Wadsworth

This tutorial shows how various Bayesian survival models can be fitted using the integrated nested Laplace approximation in a clear, legible, and comprehensible manner using the INLA and INLAjoint R-packages. Such models include accelerated…

We develop Bayesian nonparametric models for spatially indexed data of mixed type. Our work is motivated by challenges that occur in environmental epidemiology, where the usual presence of several confounding variables that exhibit complex…

Methodology · Statistics 2014-10-17 Georgios Papageorgiou , Sylvia Richardson , Nicky Best

In air pollution studies, dispersion models provide estimates of concentration at grid level covering the entire spatial domain, and are then calibrated against measurements from monitoring stations. However, these different data sources…

Applications · Statistics 2020-08-17 Chiara Forlani , Samir Bhatt , Michela Cameletti , Elias Krainski , Marta Blangiardo

Bayesian inference tasks continue to pose a computational challenge. This especially holds for spatial-temporal modeling where high-dimensional latent parameter spaces are ubiquitous. The methodology of integrated nested Laplace…

Computation · Statistics 2023-03-28 Lisa Gaedke-Merzhäuser , Elias Krainski , Radim Janalik , Håvard Rue , Olaf Schenk

The INLAMSM package for the R programming language provides a collection of multivariate spatial models for lattice data that can be used with package INLA for Bayesian inference. The multivariate spatial models include different structures…

The Epidemic Type Aftershock Sequence (ETAS) model is widely used to model seismic sequences and underpins Operational Earthquake Forecasting (OEF). However, it remains challenging to assess the reliability of inverted ETAS parameters for a…

Applications · Statistics 2022-12-16 Mark Naylor , Francesco Serafini , Finn Lindgren , Ian Main

Air pollution remains a major environmental risk factor that is often associated with adverse health outcomes. However, quantifying and evaluating its effects on human health is challenging due to the complex nature of exposure data. Recent…

Methodology · Statistics 2025-06-02 Soumyakanti Pan , Sudipto Banerjee
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