3 papers
math.ST2021
Approximating the Spectral Gap of the Pólya-Gamma Gibbs Sampler
Bryant Davis, James P. Hobert
The self-adjoint, positive Markov operator defined by the Pólya-Gamma Gibbs sampler (under a proper normal prior) is shown to be trace-class, which implies that all non-zero elemen…
math.ST2020
On the convergence complexity of Gibbs samplers for a family of simple Bayesian random effects models
Bryant Davis, James P. Hobert
The emergence of big data has led to so-called convergence complexity analysis, which is the study of how Markov chain Monte Carlo (MCMC) algorithms behave as the sample size, ,…
math.NT2015
The density of primes dividing a term in the Somos-5 sequence
Bryant Davis, Rebecca Kotsonis, Jeremy Rouse
The Somos-5 sequence is defined by and for . We relate the arithme…