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We develop a stochastic modeling approach based on spatial point processes of log-Gaussian Cox type for a collection of around 5000 landslide events provoked by a precipitation trigger in Sicily, Italy. Through the embedding into a…

Applications · Statistics 2017-08-11 Luigi Lombardo , Thomas Opitz , Raphael Huser

The analysis of area-level aggregated summary data is common in many disciplines including epidemiology and the social sciences. Typically, Markov random field spatial models have been employed to acknowledge spatial dependence and allow…

Methodology · Statistics 2017-09-28 Katherine Wilson , Jon Wakefield

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

Estimating environmental exposures from multi-source data is central to public health research and policy. Integrating data from satellite products and ground monitors are increasingly used to produce exposure surfaces. However,…

Methodology · Statistics 2026-01-01 Yovna Junglee , Vianey Leos Barajas , Meredith Franklin

Applications of structural equation models (SEMs) are often restricted to linear associations between variables. Maximum likelihood (ML) estimation in non-linear models may be complex and require numerical integration. Furthermore, ML…

Methodology · Statistics 2019-03-15 Klaus Kähler Holst , Esben Budtz-Jørgensen

Unmeasured confounding can severely bias causal effect estimates from spatiotemporal observational data, especially when the confounders do not vary smoothly in time and space. In this work, we develop a method for addressing unmeasured…

Methodology · Statistics 2026-04-29 Jiaxi Wu , Alexander Franks

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

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

Short-term disease forecasting at specific discrete spatial resolutions has become a high-impact decision-support tool in health planning. However, when the number of areas is very large obtaining predictions can be computationally…

Methodology · Statistics 2023-11-01 E. Orozco-Acosta , A. Riebler , A. Adin , M. D. Ugarte

Various computational challenges arise when applying Bayesian inference approaches to complex hierarchical models. Sampling-based inference methods, such as Markov Chain Monte Carlo strategies, are renowned for providing accurate results…

Methodology · Statistics 2022-03-29 Cristian Chiuchiolo , Janet van Niekerk , Håvard Rue

The goal of phylodynamics, an area on the intersection of phylogenetics and population genetics, is to reconstruct population size dynamics from genetic data. Recently, a series of nonparametric Bayesian methods have been proposed for such…

Applications · Statistics 2012-10-19 Julia A. Palacios , Vladimir N. Minin

Although distributed lag non-linear models (DLNMs) are commonly used to quantify delayed and non-linear exposure-response relationships, most existing applications assume that these relationships are constant across space. However, in many…

Methodology · Statistics 2026-04-13 Sara Rutten , Thomas Neyens , Elisa Duarte , Antonio Gasparrini , Christel Faes

Dengue is an infectious disease which poses significant socioeconomic and disease burden in many tropical and subtropical regions of the world. This work aims to provide additional insight into the association between dengue and climate in…

Applications · Statistics 2025-06-30 Stephen Jun Villejo , Sara Martino , Janine Illian

Misclassified variables used in regression models, either as a covariate or as the response, may lead to biased estimators and incorrect inference. Even though Bayesian models to adjust for misclassification error exist, it has not been…

Methodology · Statistics 2024-11-26 Emma Skarstein , Leonardo Soares Bastos , Håvard Rue , Stefanie Muff

In the presence of unmeasured spatial confounding, spatial models may actually increase (rather than decrease) bias, leading to uncertainty as to how they should be applied in practice. We evaluated spatial modeling approaches through…

Short-range forecasts of precipitation fields are needed in a wealth of agricultural, hydrological, ecological and other applications. Forecasts from numerical weather prediction models are often biased and do not provide uncertainty…

Applications · Statistics 2009-01-23 Veronica J. Berrocal , Adrian E. Raftery , Tilmann Gneiting

Ozone and particulate matter PM2.5 are co-pollutants that have long been associated with increased public health risks. Information on concentration levels for both pollutants come from two sources: monitoring sites and output from complex…

Applications · Statistics 2015-03-14 Veronica J. Berrocal , Alan E. Gelfand , David M. Holland

This paper develops a simple two-stage variational Bayesian algorithm to estimate panel spatial autoregressive models, where N, the number of cross-sectional units, is much larger than T, the number of time periods without restricting the…

Econometrics · Economics 2023-09-08 Deborah Gefang , Stephen G. Hall , George S. Tavlas

Stochastic reduced models are an important tool in climate systems whose many spatial and temporal scales cannot be fully discretized or underlying physics may not be fully accounted for. One form of reduced model, the linear inverse model…

Methodology · Statistics 2020-04-29 Dallas Foster , Darin Comeau , Nathan M. Urban

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…