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Discrete Bayesian nonparametric models whose expectation is a convex linear combination of a point mass at some point of the support and a diffuse probability distribution allow to incorporate strong prior information, while still being…

Statistics Theory · Mathematics 2021-07-22 Antonio Canale , Antonio Lijoi , Bernardo Nipoti , Igor Prünster

The Bayesian analysis of infectious disease surveillance data from multiple locations typically involves building and fitting a spatio-temporal model of how the disease spreads in the structured population. Here we present new generally…

Methodology · Statistics 2025-03-04 Matthew Adeoye , Xavier Didelot , Simon EF Spencer

Microorganisms play critical roles in human health and disease. It is well known that microbes live in diverse communities in which they interact synergistically or antagonistically. Thus for estimating microbial associations with clinical…

We introduce a Bayesian approach for analyzing high-dimensional multinomial data that are referenced over space and time. In particular, the proportions associated with multinomial data are assumed to have a logit link to a latent…

Methodology · Statistics 2018-12-11 Jonathan R. Bradley , Christopher K. Wikle , Scott H. Holan

Assembly theory predicts that a distinguishing signature of life is its ability to produce complex molecules in abundance, opening new possibilities for life detection. Experimental validation of this approach has so far relied on abiotic…

Biological Physics · Physics 2025-09-08 Alexandre Champagne-Ruel , Christopher P. Kempes , Cole Mathis

Understanding the how the distribution of an economic outcome, such as income, changes with respect to space and covariates is a key concern for policy makers. To address this, we develop a Bayesian nonparametric model, the Normalised…

Methodology · Statistics 2026-04-28 Ziyou Wang , Jim Griffin , Maria Kalli

Numerous experimental studies have demonstrated that the microenvironment is a key regulator influencing the proliferative and migrative potentials of species. Spatial and temporal disturbances lead to adverse and hazardous…

Populations and Evolution · Quantitative Biology 2015-10-07 Venkata. S. K. Manem , Kamran Kaveh , Mohammad Kohandel , Siv Sivaloganathan

From a systems biology perspective the majority of cancer models, although interesting and providing a qualitative explanation of some problems, have a major disadvantage in that they usually miss a genuine connection with experimental…

Statistics Theory · Mathematics 2023-05-25 Zuzanna Szymańska , Jakub Skrzeczkowski , Błażej Miasojedow , Piotr Gwiazda

This paper develops a Bayesian graphical model for fusing disparate types of count data. The motivating application is the study of bacterial communities from diverse high dimensional features, in this case transcripts, collected from…

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

Quantitative Methods · Quantitative Biology 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

This paper investigates Bayesian variable selection when there is a hierarchical dependence structure on the inclusion of predictors in the model. In particular, we study the type of dependence found in polynomial response surfaces of…

Methodology · Statistics 2015-02-03 Daniel Taylor-Rodriguez , Andrew Womack , Nikolay Bliznyuk

We wish to formally test for changes in the taxonomic diversity of a community, especially in the presence of high latent diversity. Drawing on the meta-analysis literature, we construct a model for diversity that accounts for covariate…

Methodology · Statistics 2015-06-19 Amy Willis , John Bunge , Thea Whitman

Epidemic data often possess certain characteristics, such as the presence of many zeros, the spatial nature of the disease spread mechanism or environmental noise. This paper addresses these issues via suitable Bayesian modelling. In doing…

Applications · Statistics 2014-03-10 C. Malesios , N. Demiris , K. Kalogeropoulos , I. Ntzoufras

Geographical data are generally autocorrelated. In this case, it is preferable to select spread units. In this paper, we propose a new method for selecting well-spread samples from a finite spatial population with equal or unequal inclusion…

Methodology · Statistics 2020-08-11 Raphaël Jauslin , Yves Tillé

Determining spatial distributions of species and communities are key objectives of ecology and conservation. Joint species distribution models use multi-species detection-nondetection data to estimate species and community distributions.…

Applications · Statistics 2022-12-15 Jeffrey W. Doser , Andrew O. Finley , Sudipto Banerjee

This paper proposes a new test for a change point in the mean of high-dimensional data based on the spatial sign and self-normalization. The test is easy to implement with no tuning parameters, robust to heavy-tailedness and theoretically…

Methodology · Statistics 2022-06-07 Feiyu Jiang , Runmin Wang , Xiaofeng Shao

In nature, most microbial populations have complex spatial structures that can affect their evolution. Evolutionary graph theory predicts that some spatial structures modelled by placing individuals on the nodes of a graph affect the…

Populations and Evolution · Quantitative Biology 2024-12-30 Alia Abbara , Lisa Pagani , Celia García-Pareja , Anne-Florence Bitbol

Longitudinal item response data are common in social science, educational science, and psychology, among other disciplines. Studying the time-varying relationships between items is crucial for educational assessment or designing marketing…

Methodology · Statistics 2021-10-26 Jaewoo Park , Yeseul Jeon , Minsuk Shin , Minjeong Jeon , Ick Hoon Jin

We consider the problems of hypothesis testing and model comparison under a flexible Bayesian linear regression model whose formulation is closely connected with the linear mixed effect model and the parametric models for SNP set analysis…

Methodology · Statistics 2015-02-24 Xiaoquan Wen

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein