Research

Gibbs posterior distributions

• General theory - concentration rates
  • N. Syring and R. Martin. Gibbs posterior concentration rates under sub-exponential type losses. (2020). Submitted. https://arxiv.org/pdf/2012.04505.pdf
• In Imaging
  • N. Syring and R. Martin. Robust and Rate-Optimal Gibbs Posterior Inference on the Boundary of a
    Noisy Image. Annals of Statistics. Volume 48, Number 3 (2020), 1498-1513.https://doi.org/10.1214/19-AOS1856
• In Actuarial Science
  • N. Syring L. Hong, and R. Martin. Gibbs Posterior Inference on Value-at-Risk. Scandinavian Actuarial
    Journal. (2019). https://doi.org/10.1080/03461238.2019.1573754.
• In Medical Statistics
  • N. Syring and R. Martin. Gibbs Posterior Inference on the Minimum Clinically Important Difference.
    Journal of Statistical Planning and Inference. 187 (2017): 67-77. http://dx.doi.org/10.1016/j.jspi.2017.03.001.

Foundations of Statistics

• Frequentist validity in Inferential Models
  • R. Martin and N. Syring. Validity-preservation properties of rules for combining inferential models.
    Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications,
    in Proceedings of Machine Learning Research. (2019), 103:286-294. http://proceedings.mlr.press/v103/martin19a/martin19a.pdf.

Other Work

• Frequentist validity of Posterior distributions
  • N. Syring and R. Martin. Calibrating General Posterior Credible Regions. Biometrika. (2018). https://doi.org/10.1093/biomet/asy054.
• Bayesian inference in imaging
  • N. Syring and M. Li. BayesBD: An R Package for Bayesian Inference on Image Boundaries. R Journal.
    9, 2 (2017): 149-162. https://journal.r-project.org/archive/2017/RJ-2017-052/index.html.
• Simulation
  • C. Liu, R. Martin, and N. Syring. Efficient Simulation from a Gamma Distribution with Small Shape Parameter.
    Computational Statistics 32, 4 (2017): 1767-1775. https://doi.org/10.1007/s00180-016-0692-0.