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This paper describes a Bayesian statistical method for determining the genetic basis of a complex genetic trait. The method uses a sample of unrelated individuals classified into two groups, for example cases and controls. Each group is…

Genomics · Quantitative Biology 2008-02-21 Toby Johnson

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

Methodology · Statistics 2024-04-30 Shirin Golchi , James Willard

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

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…

Joint modeling of longitudinal and survival data has become increasingly important in medical research, particularly for understanding disease progression in chronic conditions where both repeated biomarker measurements and time-to-event…

Methodology · Statistics 2025-12-30 Nithisha Suryadevara , Vivek Reddy Srigiri

Microbiome research has immense potential for unlocking insights into human health and disease. A common goal in human microbiome research is identifying subgroups of individuals with similar microbial composition that may be linked to…

Methodology · Statistics 2025-08-21 Suppapat Korsurat , Matthew D. Koslovsky

In recent years, a wide range of mortality models has been proposed to address the diverse factors influencing mortality rates, which has highlighted the need to perform model selection. Traditional mortality model selection methods, such…

Methodology · Statistics 2025-10-22 Alex Diana , Jackie Wong Siaw Tze , Aniketh Pittea

In recent years, disease mapping studies have become a routine application within geographical epidemiology and are typically analysed within a Bayesian hierarchical model formulation. A variety of model formulations for the latent level…

Methodology · Statistics 2016-01-07 Andrea Riebler , Sigrunn H. Sørbye , Daniel Simpson , Håvard Rue

Phylogenetic analyses which include fossils or molecular sequences that are sampled through time require models that allow one sample to be a direct ancestor of another sample. As previously available phylogenetic inference tools assume…

Populations and Evolution · Quantitative Biology 2014-12-08 Alexandra Gavryushkina , David Welch , Tanja Stadler , Alexei Drummond

We analyze binary data, available for a relatively large number (big data) of families (or households), which are within small areas, from a population-based survey. Inference is required for the finite population proportion of individuals…

Methodology · Statistics 2018-06-04 Balgobin Nandram , Lu Chen , Shuting Fu , Binod Manandhar

Shared frailty models have been proposed to accommodate unmeasured cluster-specific risk factors through the inclusion of a common latent frailty term. Among possible frailty distributions, the Gamma distribution is appealing due to its…

Methodology · Statistics 2026-05-13 Piotr Lewczuk , Oswaldo Gressani , Steven Abrams , Christel Faes

In economic development, there are often regions that share similar economic characteristics, and economic models on such regions tend to have similar covariate effects. In this paper, we propose a Bayesian clustered regression for…

Econometrics · Economics 2020-06-30 Zhihua Ma , Yishu Xue , Guanyu Hu

Accurate estimation of the change in crime over time is a critical first step towards better understanding of public safety in large urban environments. Bayesian hierarchical modeling is a natural way to study spatial variation in urban…

Applications · Statistics 2022-06-22 Cecilia Balocchi , Sameer K. Deshpande , Edward I. George , Shane T. Jensen

A novel multi-resolution cluster detection (MCD) method is proposed to identify irregularly shaped clusters in space. Multi-scale test statistic on a single cell is derived based on likelihood ratio statistic for Bernoulli sequence, Poisson…

Methodology · Statistics 2012-05-11 Lingsong Zhang , Zhengyuan Zhu

In cancer research, clustering techniques are widely used for exploratory analyses and dimensionality reduction, playing a critical role in the identification of novel cancer subtypes, often with direct implications for patient management.…

Separate modelling of cause specific mortality rates and their projections can yield inconsistent forecasts when the sum of deaths by cause does not match the total observed in a population. We develop a hierarchical probabilistic framework…

Applications · Statistics 2026-03-03 Andrea Nigri , Han Lin Shang , Francesco Ungolo

Understanding the spread of any disease is a highly complex and interdisciplinary exercise as biological, social, geographic, economic, and medical factors may shape the way a disease moves through a population and options for its eventual…

Populations and Evolution · Quantitative Biology 2016-12-14 Aristides Moustakas

Mortality is different across countries, states and regions. Several empirical research works however reveal that mortality trends exhibit a common pattern and show similar structures across populations. The key element in analyzing…

Applications · Statistics 2020-09-10 Lei Fang , Wolfgang K. Härdle , Juhyun Park

In this chapter, we address the challenge of exploring the posterior distributions of Bayesian inverse problems with computationally intensive forward models. We consider various multivariate proposal distributions, and compare them with…

Computation · Statistics 2024-05-02 Mikkel B. Lykkegaard , Colin Fox , Dave Higdon , C. Shane Reese , J. David Moulton

Bayesian model comparison (BMC) offers a principled probabilistic approach to study and rank competing models. In standard BMC, we construct a discrete probability distribution over the set of possible models, conditional on the observed…

Machine Learning · Statistics 2023-02-22 Marvin Schmitt , Stefan T. Radev , Paul-Christian Bürkner
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