Far East Journal of Theoretical Statistics

The Far East Journal of Theoretical Statistics publishes original research papers and survey articles in the field of theoretical statistics, covering topics such as Bayesian analysis, multivariate analysis, and stochastic processes.

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BAYESIAN LASSO: CONCENTRATION AND MCMC DIAGNOSIS

Authors

  • Daoud Ounaissi
  • Nadji Rahmania

Keywords:

LASSO, Bayes, MCMC, log-concave, geometry, incomplete gamma function.

DOI:

https://doi.org/10.17654/0972086322005

Abstract

Using a posterior distribution of Bayesian LASSO, we construct a semi-norm on the parameter space. We show that the partition function depends on the ratio of l1 and l2 norms. We derive the concentration of Bayesian LASSO, and present MCMC convergence diagnosis.

Received: March 29, 2022
Revised: April 21, 2022
Accepted: May 5, 2022

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Published

2022-05-30

Issue

Section

Articles

How to Cite

BAYESIAN LASSO: CONCENTRATION AND MCMC DIAGNOSIS. (2022). Far East Journal of Theoretical Statistics , 65, 35-54. https://doi.org/10.17654/0972086322005

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