no code implementations • 8 Dec 2020 • Nicholas Syring, Ryan Martin
Gibbs posterior distributions, on the other hand, offer direct, principled, probabilistic inference on quantities of interest through a loss function, not a model-based likelihood.
Statistics Theory Methodology Statistics Theory 62F15 (Primary) 62G08, 62G20 (Secondary)
no code implementations • 31 Jul 2020 • Yue Yang, Ryan Martin
In high-dimensions, the prior tails can have a significant effect on both posterior computation and asymptotic concentration rates.
no code implementations • 24 Jan 2020 • Leonardo Cella, Ryan Martin
The standard notion of validity, what we refer to here as Type-1 validity, focuses on coverage probability of prediction regions, while a notion of validity relevant to the other prediction-related tasks performed by predictive distributions is lacking.
no code implementations • 13 May 2019 • Yue Yang, Ryan Martin, Howard Bondell
Modern applications of Bayesian inference involve models that are sufficiently complex that the corresponding posterior distributions are intractable and must be approximated.
1 code implementation • 3 Sep 2015 • Nicholas Syring, Ryan Martin
An advantage of methods that base inference on a posterior distribution is that credible regions are readily obtained.
Methodology