On the Convergence Complexity of Gibbs Samplers for a Family of Simple Bayesian Random Effects Models
Author
Abstract
Suggested Citation
DOI: 10.1007/s11009-020-09808-8
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Asmussen, Søren & Glynn, Peter W., 2011. "A new proof of convergence of MCMC via the ergodic theorem," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1482-1485, October.
- Gareth O. Roberts & Jeffrey S. Rosenthal, 2001. "Markov Chains and De‐initializing Processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 28(3), pages 489-504, September.
- Román, Jorge Carlos & Hobert, James P. & Presnell, Brett, 2014. "On reparametrization and the Gibbs sampler," Statistics & Probability Letters, Elsevier, vol. 91(C), pages 110-116.
- Komorowski, Tomasz & Walczuk, Anna, 2012. "Central limit theorem for Markov processes with spectral gap in the Wasserstein metric," Stochastic Processes and their Applications, Elsevier, vol. 122(5), pages 2155-2184.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Kshitij Khare & Malay Ghosh, 2022. "MCMC Convergence for Global-Local Shrinkage Priors," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 20(1), pages 211-234, September.
- Bao, Jianhai & Wang, Jian, 2022. "Coupling approach for exponential ergodicity of stochastic Hamiltonian systems with Lévy noises," Stochastic Processes and their Applications, Elsevier, vol. 146(C), pages 114-142.
- Wang, Ya & Wu, Fuke & Yin, George, 2024. "Limit theorems of additive functionals for regime-switching diffusions with infinite delay," Stochastic Processes and their Applications, Elsevier, vol. 167(C).
- Ankush Agarwal & Stefano de Marco & Emmanuel Gobet & Gang Liu, 2017. "Rare event simulation related to financial risks: efficient estimation and sensitivity analysis," Working Papers hal-01219616, HAL.
- Wang, Xin & Roy, Vivekananda, 2018. "Analysis of the Pólya-Gamma block Gibbs sampler for Bayesian logistic linear mixed models," Statistics & Probability Letters, Elsevier, vol. 137(C), pages 251-256.
- Ye Chen & Ilya O. Ryzhov, 2020. "Technical Note—Consistency Analysis of Sequential Learning Under Approximate Bayesian Inference," Operations Research, INFORMS, vol. 68(1), pages 295-307, January.
- James P. Hobert & Christian P. Robert & Vivekanada Roy, 2010. "Improving the Convergence Properties of the Data Augmentation Algorithm with an Application to Bayesian Mixture Modelling," Working Papers 2010-29, Center for Research in Economics and Statistics.
- Román, Jorge Carlos & Hobert, James P. & Presnell, Brett, 2014. "On reparametrization and the Gibbs sampler," Statistics & Probability Letters, Elsevier, vol. 91(C), pages 110-116.
- Jin, Zhumengmeng & Hobert, James P., 2022. "On the convergence rate of the “out-of-order” block Gibbs sampler," Statistics & Probability Letters, Elsevier, vol. 188(C).
- Khare, Kshitij & Hobert, James P., 2012. "Geometric ergodicity of the Gibbs sampler for Bayesian quantile regression," Journal of Multivariate Analysis, Elsevier, vol. 112(C), pages 108-116.
- Uehara, Yuma, 2019. "Statistical inference for misspecified ergodic Lévy driven stochastic differential equation models," Stochastic Processes and their Applications, Elsevier, vol. 129(10), pages 4051-4081.
- Majka, Mateusz B., 2017. "Coupling and exponential ergodicity for stochastic differential equations driven by Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 127(12), pages 4083-4125.
- Chen, Chuchu & Dang, Tonghe & Hong, Jialin & Zhou, Tau, 2023. "CLT for approximating ergodic limit of SPDEs via a full discretization," Stochastic Processes and their Applications, Elsevier, vol. 157(C), pages 1-41.
- Jin, Zhumengmeng & Hobert, James P., 2022. "Dimension free convergence rates for Gibbs samplers for Bayesian linear mixed models," Stochastic Processes and their Applications, Elsevier, vol. 148(C), pages 25-67.
- Halme, Merja & Kallio, Markku, 2014. "Likelihood estimation of consumer preferences in choice-based conjoint analysis," European Journal of Operational Research, Elsevier, vol. 239(2), pages 556-564.
- Rudolf, Daniel & Schweizer, Nikolaus, 2015. "Error bounds of MCMC for functions with unbounded stationary variance," Statistics & Probability Letters, Elsevier, vol. 99(C), pages 6-12.
More about this item
Keywords
Convergence rate; Geometric ergodicity; High-dimensional inference; Monte Carlo; Quantitative bound; Spectral gap; Total variation distance; Trace-class operator; Wasserstein distance;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:metcap:v:23:y:2021:i:4:d:10.1007_s11009-020-09808-8. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.