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Spatio-temporal hierarchical modeling is an extremely attractive way to model the spread of crime or terrorism data over a given region, especially when the observations are counts and must be modeled discretely. The spatio-temporal…

Applications · Statistics 2017-09-27 Nicholas J. Clark , Philip M. Dixon

Survival analysis/time-to-event models are extremely useful as they can help companies predict when a customer will buy a product, churn or default on a loan, and therefore help them improve their ROI. In this paper, we introduce a new…

Machine Learning · Statistics 2018-01-18 Stephane Fotso

This article introduces a novel dynamic framework to Bayesian model averaging for time-varying parameter quantile regressions. By employing sequential Markov chain Monte Carlo, we combine empirical estimates derived from dynamically chosen…

Statistics Theory · Mathematics 2024-11-08 Mauro Bernardi , Roberto Casarin , Bertrand Maillet , Lea Petrella

Sampling from the posterior is a key technical problem in Bayesian statistics. Rigorous guarantees are difficult to obtain for Markov Chain Monte Carlo algorithms of common use. In this paper, we study an alternative class of algorithms…

Statistics Theory · Mathematics 2024-08-26 Andrea Montanari , Yuchen Wu

This paper explores the versatility and depth of Bayesian modeling by presenting a comprehensive range of applications and methods, combining Markov chain Monte Carlo (MCMC) techniques and variational approximations. Covering topics such as…

Applications · Statistics 2025-02-18 Yifei Yan , Juan Sosa , Carlos A. Martínez

The Linear Ballistic Accumulator (Brown & Heathcote, 2008) model is used as a measurement tool to answer questions about applied psychology. The analyses based on this model depend upon the model selected and its estimated parameters.…

Methodology · Statistics 2020-03-03 David Gunawan , Guy E. Hawkins , Minh-Ngoc Tran , Robert Kohn , Scott Brown

Decisions based upon pairwise comparisons of multiple treatments are naturally performed in terms of the mean survival of the selected study arms or functions thereof. However, synthesis of treatment comparisons is usually performed on…

Applications · Statistics 2025-12-11 Anastasios Apsemidis , Dimitris Mavridis , Nikolaos Demiris

Conventional survival analysis methods are typically ineffective to characterize heterogeneity in the population while such information can be used to assist predictive modeling. In this study, we propose a hybrid survival analysis method,…

Machine Learning · Computer Science 2024-04-09 Bojian Hou , Hongming Li , Zhicheng Jiao , Zhen Zhou , Hao Zheng , Yong Fan

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

Markov chain Monte Carlo algorithms play a key role in the Bayesian approach to phylogenetic inference. In this paper, we present the first theoretical work analyzing the rate of convergence of several Markov chains widely used in…

Populations and Evolution · Quantitative Biology 2007-05-23 Elchanan Mossel , Eric Vigoda

Survival models are a popular tool for the analysis of time to event data with applications in medicine, engineering, economics, and many more. Advances like the Cox proportional hazard model have enabled researchers to better describe…

Machine Learning · Statistics 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

Survival analysis is a widely-used technique for analyzing time-to-event data in the presence of censoring. In recent years, numerous survival analysis methods have emerged which scale to large datasets and relax traditional assumptions…

Machine Learning · Computer Science 2023-11-06 Mert Ketenci , Shreyas Bhave , Noémie Elhadad , Adler Perotte

Generative diffusions are a powerful class of Monte Carlo samplers that leverage bridging Markov processes to approximate complex, high-dimensional distributions, such as those found in image processing and language models. Despite their…

Machine Learning · Statistics 2025-02-20 Zheng Zhao , Ziwei Luo , Jens Sjölund , Thomas B. Schön

We address the problem of parameter estimation for diffusion driven stochastic volatility models through Markov chain Monte Carlo (MCMC). To avoid degeneracy issues we introduce an innovative reparametrisation defined through…

Methodology · Statistics 2008-12-02 Konstantinos Kalogeropoulos , Gareth O. Roberts , Petros Dellaportas

We show that a probabilistic version of the classical forward-stepwise variable inclusion procedure can serve as a general data-augmentation scheme for model space distributions in (generalized) linear models. This latent variable…

Methodology · Statistics 2014-10-23 Li Ma

The usual parametric models for survival data are of the following form. Some parametrically specified hazard rate $\alpha(s,\theta)$ is assumed for possibly censored random life times $X_1^0,\ldots,X_n^0$; one observes only…

Methodology · Statistics 2026-03-25 Nils Lid Hjort

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

There has been considerable recent interest in Bayesian modeling of high-dimensional networks via latent space approaches. When the number of nodes increases, estimation based on Markov Chain Monte Carlo can be extremely slow and show poor…

Computation · Statistics 2022-05-30 Emanuele Aliverti , Massimiliano Russo

Biochemical reaction networks are an amalgamation of reactions where each reaction represents the interaction of different species. Generally, these networks exhibit a multi-scale behavior caused by the high variability in reaction rates…

Quantitative Methods · Quantitative Biology 2023-04-14 Derya Altıntan , Bastian Alt , Heinz Koeppl

This article focuses on inference in logistic regression for high-dimensional binary outcomes. A popular approach induces dependence across the outcomes by including latent factors in the linear predictor. Bayesian approaches are useful for…

Methodology · Statistics 2025-04-23 Lorenzo Mauri , David B. Dunson