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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…

统计方法学 · 统计学 2024-06-06 Ruiman Zhong , André Victor Ribeiro Amaral , Paula Moraga

We propose a Bayesian hierarchical model to address the challenge of spatial misalignment in spatio-temporal data obtained from in situ and satellite sources. The model is fit using the INLA-SPDE approach, which provides efficient…

统计方法学 · 统计学 2024-01-10 Shiyu He , Samuel W. K. Wong

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…

应用统计 · 统计学 2010-06-21 Erik A. Sauleau , Valentina Mameli , Monica Musio

We propose a spatio-temporal data-fusion framework for point data and gridded data with variables observed on different spatial supports. A latent Gaussian field with a Mat\'ern-SPDE prior provides a continuous space representation, while…

统计方法学 · 统计学 2025-11-19 Weiyue Zheng , Andrew Elliott , Claire Miller , Marian Scott

Airborne particulate matter (PM2.5) is a major public health concern in urban environments, where population density and emission sources exacerbate exposure risks. We present a novel Bayesian spatiotemporal fusion model to estimate monthly…

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…

统计计算 · 统计学 2023-03-28 Lisa Gaedke-Merzhäuser , Elias Krainski , Radim Janalik , Håvard Rue , Olaf Schenk

This work aims to combine two primary meteorological data sources in the Philippines: data from a sparse network of weather stations and outcomes of a numerical weather prediction model. To this end, we propose a data fusion model which is…

应用统计 · 统计学 2025-01-31 Stephen Jun Villejo , Sara Martino , Finn Lindgren , Janine Illian

The analysis of case-control point pattern data is an important problem in spatial epidemiology. The spatial variation of cases if often compared to that of a set of controls to assess spatial risk variation as well as the detection of risk…

统计方法学 · 统计学 2025-03-20 Francisco Palmí-Perales , Finn Lindgren , Virgilio Gómez-Rubio

Environmental processes often exhibit complex, non-linear patterns and discontinuities across space and time, posing significant challenges for traditional geostatistical modeling approaches. In this paper, we propose a hybrid…

统计方法学 · 统计学 2026-05-06 Mario Figueira , Michela Cameletti , Luca Patelli

The Integrated Nested Laplace Approximation (INLA) is a convenient way to obtain approximations to the posterior marginals for parameters in Bayesian hierarchical models when the latent effects can be expressed as a Gaussian Markov Random…

统计计算 · 统计学 2017-02-14 Virgilio Gómez-Rubio , Francisco Palmí-Perales

Statistical models often require inputs that are not completely known. This can occur when inputs are measured with error, indirectly, or when they are predicted using another model. In environmental epidemiology, air pollution exposure is…

统计方法学 · 统计学 2025-12-23 Konstantin Larin , Daniel R. Kowal

In ecology we may find scenarios where the same phenomenon (species occurrence, species abundance, etc.) is observed using two different types of samplers. For instance, species data can be collected from scientific sampling with a…

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…

统计方法学 · 统计学 2025-06-02 Soumyakanti Pan , Sudipto Banerjee

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…

Integrated Nested Laplace Approximation provides a fast and effective method for marginal inference on Bayesian hierarchical models. This methodology has been implemented in the R-INLA package which permits INLA to be used from within R…

统计计算 · 统计学 2021-06-01 Virgilio Gomez-Rubio , Roger S. Bivand , Håvard Rue

Fitting cross-classified multilevel models with binary response is challenging. In this setting a promising method is Bayesian inference through Integrated Nested Laplace Approximations (INLA), which performs well in several latent variable…

统计计算 · 统计学 2016-07-21 Leonardo Grilli , Francesco Innocenti

The integrated nested Laplace approximation (INLA) is a well-known and popular technique for spatial modeling with a user-friendly interface in the R-INLA package. Unfortunately, only a certain class of latent Gaussian models are amenable…

统计方法学 · 统计学 2021-03-19 Aaron Osgood-Zimmerman , Jon Wakefield

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…

应用统计 · 统计学 2020-08-17 Chiara Forlani , Samir Bhatt , Michela Cameletti , Elias Krainski , Marta Blangiardo

The integrated nested Laplace approximation (INLA) for Bayesian inference is an efficient approach to estimate the posterior marginal distributions of the parameters and latent effects of Bayesian hierarchical models that can be expressed…

统计计算 · 统计学 2019-11-05 Virgilio Gómez-Rubio , Roger S. Bivand , Håvard Rue

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…

统计方法学 · 统计学 2021-05-21 Mahsa Nadifar , Hossein Baghishani , Afshin Fallah
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