The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Bayesian Inference for Logistic Models Using Pólya–Gamma Latent Variables
Abstract
We propose a new data-augmentation strategy for fully Bayesian inference in models with binomial likelihoods. The approach appeals to a new class of Pólya–Gamma distributions, which are constructed in detail. A variety of examples are presented to show the versatility of the method, including logistic regression, negative binomial regression, nonlinear mixed-effect models, and spatial models for count data. In each case, our data-augmentation strategy leads to simple, effective methods for posterior inference that (1) circumvent the need for analytic approximations, numerical integration, or Metropolis–Hastings; and (2) outperform other known data-augmentation strategies, both in ease of use and in computational efficiency. All methods, including an efficient sampler for the Pólya–Gamma distribution, are implemented in the R package BayesLogit. Supplementary materials for this article are available online.
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Convergence Diagnostics for Markov Chain Monte Carlo
Roy, V. (2020) · Annual Review of Statistics and Its Application · doi:10.1146/annurev-statistics-031219-041300 · Cited by 298
Galy-Fajou, T., Wenzel, F., Donner, C., & Opper, M. (2019) · arXiv · doi:10.48550/arxiv.1905.09670 · Cited by 18
Bao, J., Chang, C., Zhang, Q., Saykin, A. J., Shen, L., Long, Q., & Initiative, F. T. A. D. N. (2023) · Briefings in Bioinformatics · doi:10.1093/bib/bbad073 · Cited by 16
Multi-agent discussion gains less when dissent is withheld
Mansuri, C. S., Wang, X., Li, M., Acton, B., Eckardt, R., Patel, D., & Kojaku, S. (2026) · arXiv · doi:10.48550/arxiv.2609.38324 · Cited by 1
Metadata
- Authors
- Polson, N. G., Scott, J. G., & Windle, J.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 2013-12
- Volume
- 108
- Issue
- 504
- Pages
- 1339-1349
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2099878672
- Cited by
- 928
- References
- 36
- FWCI
- 30.11
- Type
- journal article
- Language
- en
- Open access
- closed
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