ArticleBayesian analysis2019
Bayesian Zero-Inflated Negative Binomial Regression Based on Pólya-Gamma Mixtures.
Article in Bayesian analysis, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 19 papers.
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Who cites it
19 citing papers in PubMed.
- The Cox-Pólya-Gamma algorithm for flexible Bayesian inference of multilevel survival models.Biometrics · 2025Article
- ZIBGLMM: Zero-inflated bivariate generalized linear mixed model for meta-analysis with double-zero-event studies.Research synthesis methods · 2025Article
- Structured Bayesian Regression Tree Models for Estimating Distributed Lag Effects: The R Package dlmtree.The R journal · 2025Article
- Analyzing microbiome data with taxonomic misclassification using a zero-inflated Dirichlet-multinomial model.BMC bioinformatics · 2025Article
- Article
- A double Pólya-Gamma data augmentation scheme for a hierarchical Negative Binomial - Binomial data model.Computational statistics & data analysis · 2024Article
- Weather, weekday, and vacation effects on webcam recorded daily visitor numbers in the alpine winter season.International journal of biometeorology · 2024Article
- A scalar-on-quantile-function approach for estimating short-term health effects of environmental exposures.Biometrics · 2024Article
- A Bayesian zero-inflated beta-binomial model for longitudinal data with group-specific changepoints.Statistics in medicine · 2024Article
- Modeling the spatial patterns of antenatal care utilization in Nigeria with inference based on Pólya-Gamma mixtures.Journal of applied statistics · 2024Article
- Bayesian kernel machine regression for count data: modelling the association between social vulnerability and COVID-19 deaths in South Carolina.Journal of the Royal Statistical Society. Series C, Applied statistics · 2024Article
- A multivariate spatiotemporal model for tracking COVID-19 incidence and death rates in socially vulnerable populations.Journal of applied statistics · 2023Article
- Bayesian negative binomial regression model with unobserved covariates for predicting the frequency of north atlantic tropical storms.Journal of applied statistics · 2023Article
- Bayesian negative binomial regression with spatially varying dispersion: Modeling COVID-19 incidence in Georgia.Spatial statistics · 2022Review
- Application of Bayesian spatial-temporal models for estimating unrecognized COVID-19 deaths in the United States.Spatial statistics · 2022Article
- Spatial and temporal trends in social vulnerability and COVID-19 incidence and death rates in the United States.PloS one · 2021Article
- Spatial and temporal trends in social vulnerability and COVID-19 incidence and death rates in the United States.medRxiv : the preprint server for health sciences · 2020Article
- Bayesian Zero-Inflated Negative Binomial Regression Based on Pólya-Gamma Mixtures.Bayesian analysis · 2019Article
- Carotid plaque characteristics and their association with cardiovascular risk factors and coronary atherosclerosis in a middle-aged population.Journal of cardiovascular magnetic resonance : official journal of the Society for Cardiovascular Magnetic ResonanceArticle
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1 author.
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Abstract
Motivated by a study examining spatiotemporal patterns in inpatient hospitalizations, we propose an efficient Bayesian approach for fitting zero-inflated negative binomial models. To facilitate posterior sampling, we introduce a set of latent variables that are represented as scale mixtures of normals, where the precision terms follow independent Pólya-Gamma distributions. Conditional on the latent variables, inference proceeds via straightforward Gibbs sampling. For fixed-effects models, our approach is comparable to existing methods. However, our model can accommodate more complex data structures, including multivariate and spatiotemporal data, settings in which current approaches often fail due to computational challenges. Using simulation studies, we highlight key features of the method and compare its performance to other estimation procedures. We apply the approach to a spatiotemporal analysis examining the number of annual inpatient admissions among United States veterans with type 2 diabetes.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.