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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…

Methodology · Statistics 2025-03-20 Francisco Palmí-Perales , Finn Lindgren , Virgilio Gómez-Rubio

Joint models (JM) for longitudinal and survival data have gained increasing interest and found applications in a wide range of clinical and biomedical settings. These models facilitate the understanding of the relationship between outcomes…

Methodology · Statistics 2023-08-25 Sida Chen , Danilo Alvares , Christopher Jackson , Jessica Barrett

The integrated nested Laplace approximations (INLA) method has become a widely utilized tool for researchers and practitioners seeking to perform approximate Bayesian inference across various fields of application. To address the growing…

Computation · Statistics 2023-11-15 Esmail Abdul-Fattah , Janet Van Niekerk , Haavard Rue

Longitudinal and time-to-event data are often analyzed in biomarker research to study the association between the longitudinal biomarker measurements and the event-time outcome, in which the longitudinal information contributes to the…

Methodology · Statistics 2025-09-09 Minzee Kim , Joel A. Dubin

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

Generalized linear mixed models (GLMM) encompass large class of statistical models, with a vast range of applications areas. GLMM extends the linear mixed models allowing for different types of response variable. Three most common data…

Applications · Statistics 2017-04-25 Wagner Hugo Bonat , Paulo Justiniano Ribeiro , Silvia emiko Shimakura

Collecting multiple longitudinal measurements and time-to-event outcomes is a common practice in clinical and epidemiological studies, often focusing on exploring associations between them. Joint modeling is the standard analytical tool for…

Methodology · Statistics 2024-12-10 Taban Baghfalaki , Reza Hashemi , Catherine Helmer , Helene Jacqmin-Gadda

Dynamic event prediction, using joint modeling of survival time and longitudinal variables, is extremely useful in personalized medicine. However, the estimation of joint models including many longitudinal markers is still a computational…

Methodology · Statistics 2024-12-13 Reza Hashemi , Taban Baghfalaki , Viviane Philipps , Helene Jacqmin-Gadda

Using a hierarchical construction, we develop methods for a wide and flexible class of models by taking a fully parametric approach to generalized linear mixed models with complex covariance dependence. The Laplace approximation is used to…

Methodology · Statistics 2024-07-31 Jay M. Ver Hoef , Eryn Blagg , Michael Dumelle , Philip M. Dixon , Dale L. Zimmerman , Paul Conn

Missing data and noisy observations pose significant challenges for reliably predicting events from irregularly sampled multivariate time series (longitudinal) data. Imputation methods, which are typically used for completing the data prior…

Machine Learning · Statistics 2017-08-17 Hossein Soleimani , James Hensman , Suchi Saria

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

Bayesian hierarchical models are increasingly popular for realistic modelling and analysis of complex data. This trend is accompanied by the need for flexible, general, and computationally efficient methods for model criticism and conflict…

Methodology · Statistics 2017-11-02 Egil Ferkingstad , Leonhard Held , Håvard Rue

Joint models initially dedicated to a single longitudinal marker and a single time-to-event need to be extended to account for the rich longitudinal data of cohort studies. Multiple causes of clinical progression are indeed usually…

Applications · Statistics 2016-01-26 Cécile Proust-Lima , Jean-François Dartigues , Hélène Jacqmin-Gadda

In recent medical studies, the combination of longitudinal measurements with time-to-event data has increased the demand for more sophisticated models without unbiased estimates. Joint models for longitudinal and survival data have been…

Methodology · Statistics 2025-08-01 Dionisio Silva Neto , Denis Rustand , Haavard Rue , Danilo Alvares , Vera L. Tomazella

To account for measurement error (ME) in explanatory variables, Bayesian approaches provide a flexible framework, as expert knowledge about unobserved covariates can be incorporated in the prior distributions. However, given the analytic…

Methodology · Statistics 2013-08-19 Stefanie Muff , Andrea Riebler , Havard Rue , Philippe Saner , Leonhard Held

The INLA approach for approximate Bayesian inference for latent Gaussian models has been shown to give fast and accurate estimates of posterior marginals and also to be a valuable tool in practice via the R-package R-INLA. In this paper we…

Computation · Statistics 2013-02-21 Thiago G. Martins , Daniel Simpson , Finn Lindgren , Håvard Rue

Bayesian inference often relies on Markov chain Monte Carlo (MCMC) methods, particularly required for non-Gaussian data families. When dealing with complex hierarchical models, the MCMC approach can be computationally demanding in workflows…

Applications · Statistics 2026-03-31 Esmail Abdul Fattah , Elias Krainski , Havard Rue

This work has been motivated by the challenge of the 2017 conference on Extreme-Value Analysis (EVA2017), with the goal of predicting daily precipitation quantiles at the $99.8\%$ level for each month at observed and unobserved locations.…

Methodology · Statistics 2018-02-06 Thomas Opitz , Raphaël Huser , Haakon Bakka , Håvard Rue

Successful management of wildlife populations requires accurate estimates of abundance. Abundance estimates can be confounded by imperfect detection during wildlife surveys. N-mixture models enable quantification of detection probability…

Applications · Statistics 2018-08-17 Timothy D. Meehan , Nicole L. Michel , Håvard Rue

Joint models of longitudinal and survival data have become an important tool for modeling associations between longitudinal biomarkers and event processes. The association between marker and log-hazard is assumed to be linear in existing…

Methodology · Statistics 2017-10-24 Meike Köhler , Nikolaus Umlauf , Sonja Greven