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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 INLA package provides a tool for computationally efficient Bayesian modeling and inference for various widely used models, more formally the class of latent Gaussian models. It is a non-sampling based framework which provides…

Methodology · Statistics 2019-07-26 Janet van Niekerk , Haakon Bakka , Haavard Rue , Olaf Schenk

This paper introduces the R package INLAjoint, designed as a toolbox for fitting a diverse range of regression models addressing both longitudinal and survival outcomes. INLAjoint relies on the computational efficiency of the integrated…

Methodology · Statistics 2024-04-04 Denis Rustand , Janet van Niekerk , Elias Teixeira Krainski , Håvard Rue

Measurement error and missing data in variables used in statistical models are common, and can at worst lead to serious biases in analyses if they are ignored. Yet, these problems are often not dealt with adequately, presumably in part…

Methodology · Statistics 2024-06-13 Emma Skarstein , Stefanie Muff

We propose an extension of the N-mixture model which allows for the estimation of both abundances of multiple species simultaneously and their inter-species correlations. We also propose further extensions to this multi-species N-mixture…

Methodology · Statistics 2022-08-17 Niamh Mimnagh , Andrew Parnell , Estevao Prado , Rafael de Andrade Moral

Modern methods for quantifying and predicting species distribution play a crucial part in biodiversity conservation. Occupancy models are a popular choice for analyzing species occurrence data as they allow to separate the observational…

Methodology · Statistics 2024-03-19 Jafet Belmont , Sara Martino , Janine Illian , Håvard Rue

1. Accurate estimates of demographic parameters are required to infer appropriate ecological relationships and inform management actions. Recently developed N-mixture models use count data from unmarked individuals to estimate demographic…

Quantitative Methods · Quantitative Biology 2015-12-29 Joshua H. Schmidt , Devin S. Johnson , Mark S. Lindberg , Layne G. Adams

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 methods and software for spatial data analysis are generally now well established in the scientific community. Despite the wide application of spatial models, the analysis of multivariate spatial data using R-INLA has not been…

Numerous modeling techniques exist to estimate abundance of plant and wildlife species. These methods seek to estimate abundance while accounting for multiple complexities found in ecological data, such as observational biases, spatial…

Applications · Statistics 2024-05-14 Jeffrey W. Doser , Andrew O. Finley , Marc Kéry , Elise F. Zipkin

This paper is concerned with the formulation of $N$-mixture models for estimating the abundance and probability of detection of a species from binary response, count and time-to-detection data. A modelling framework, which encompasses…

Methodology · Statistics 2023-09-27 Linda M Haines , Res Altwegg , David L. Borchers

In \textit{computer-based testing} it has become standard to collect response accuracy (RA) and response times (RTs) for each test item. IRT models are used to measure a latent variable (e.g., ability, intelligence) using the RA…

Methodology · Statistics 2021-06-21 Jean-Paul Fox , Konrad Klotzke , Ahmet Salih Simsek

Missing data occur in many types of studies and typically complicate the analysis. Multiple imputation, either using joint modelling or the more flexible fully conditional specification approach, are popular and work well in standard…

Methodology · Statistics 2020-09-02 Nicole S. Erler , Dimitris Rizopoulos , Emmanuel M. E. H. Lesaffre

The R package merlin performs flexible joint modelling of hierarchical multi-outcome data. Increasingly, multiple longitudinal biomarker measurements, possibly censored time-to-event outcomes and baseline characteristics are available.…

Computation · Statistics 2020-07-29 Emma C. Martin , Alessandro Gasparini , Michael J. Crowther

Regularized regression models are well studied and, under appropriate conditions, offer fast and statistically interpretable results. However, large data in many applications are heterogeneous in the sense of harboring distributional…

Methodology · Statistics 2022-10-25 Konstantinos Perrakis , Thomas Lartigue , Frank Dondelinger , Sach Mukherjee

This is a short description and basic introduction to the Integrated nested Laplace approximations (INLA) approach. INLA is a deterministic paradigm for Bayesian inference in latent Gaussian models (LGMs) introduced in Rue et al. (2009).…

Computation · Statistics 2019-07-03 Sara Martino , Andrea Riebler

Coming up with Bayesian models for spatial data is easy, but performing inference with them can be challenging. Writing fast inference code for a complex spatial model with realistically-sized datasets from scratch is time-consuming, and if…

Efficient Bayesian inference remains a computational challenge in hierarchical models. Simulation-based approaches such as Markov Chain Monte Carlo methods are still popular but have a large computational cost. When dealing with the large…

Computation · Statistics 2021-12-07 Cristian Chiuchiolo , Janet van Niekerk , Haavard Rue

Detecting changepoints in a time series of length $N$ entails evaluating up to $2^{N-1}$ possible changepoint models, making exhaustive enumeration computationally infeasible. Genetic algorithms (GAs) provide a stochastic way to identify…

Computation · Statistics 2025-09-30 Mo Li , QiQi Lu

Normal variance mixtures are a class of multivariate distributions that generalize the multivariate normal by randomizing (or mixing) the covariance matrix via multiplication by a non-negative random variable W. The multivariate t…

Computation · Statistics 2020-06-16 Erik Hintz , Marius Hofert , Christiane Lemieux
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