Gory, J., R. Herbei, and L. Kubatko, (2016). Bayesian inference of selection in the Wright-Fisher diffusion model, Statistical Applications in Genetics and Molecular Biology, 17. Link [Code]

Lu, Y., Herbei, R., Kurtek, S. (2017) Bayesian Registration of Functions with a Gaussian Process Prior. Journal of Computational and Graphical Statistics, 26, 894-904, DOI:10.1080/10618600.2017.1336444. Link

Herbei, R., Paul, R. and Berliner, L.M. (2017) Applying diffusion-based Markov chain Monte Carlo.   [Code]

Hepler, S. A. and Herbei, R. (2017) A Monte Carlo approach to quantifying discrepancies between intractable posterior distributions. Journal of Statistical Computation and Simulation, 87, 1666-1683.

Herbei, R., Rytel, A.L., Lyons, W.B., McKnight, D.M., Jaros, C., Gooseff, M. N. and Priscu, J.C. (2016) Hydrological Controls on Ecosystem Dynamics in Lake Fryxell, Antarctica.   

Schneider, G., Craigmile, P. F. and Herbei, R. (2017) Maximum likelihood estimation for stochastic differential equations using sequential kriging-based optimization, Technometrics, 59, 178--188.

Kubatko, L., Shah, P., Herbei, R., Gilchrist, M. (2016) A codon model of nucleotide substitution that includes the effects of selection related to codon usage and protein production rates, Molecular Phylogenetics and Evolution, 94, 290-297.

Spade, D., Herbei, R., Kubatko, L. (2015) Geometric ergodicity of a hybrid sampler for Bayesian inference of phylogenetic branch lengths. Mathematical Biosciences, 268, 9-21.

White, S. A. and Herbei, R. (2015) A Monte Carlo approach to quantifying model error in Bayesian parameter estimation. Computational Statistics and Data Analysis, 83, 168-181. Link

Herbei, R. and Berliner, M. (2014) Estimating ocean circulation: an MCMC approach with approximated likelihoods via the Bernoulli factory. Journal of the American Statistical Association, 109, p. 944-954. Link

Chen, N., Giannakis, D., Herbei, R., Majda, A. (2014) An MCMC algorithm for parameter estimation for signals with hidden intermittent instability. SIAM Journal of Uncertainty Quantification, 2, 647-669.

Spade, D., Herbei, R., Kubatko, L. (2014) A Note on the Relaxation Time of Two Markov Chains on Rooted Phylogenetic Tree Spaces. Statistics and Probability Letters, 84, p. 247-252. Link

Milliff, R., Fiechter, J., Leeds, W., Herbei, R., Wikle, C., Hooten, M., Moore, A., Powell, T., Brown, J. (2013) Uncertainty Management in Coupled Physical-Biological Lower-Trophic Level Ocean Ecosystem Models, Oceanography 26(4), p. 98-115,

Wikle, C., Milliff, R., Herbei, R., Leeds, W. (2013) Modern Statistical Methods in Oceanography: A Hierarchical Perspective, Statistical Science, 28, p. 466-486. Link

Fiechter, J., Herbei, R., W. Leeds, Brown, J., Milliff, R., Wikle, C., Powel, T., Moore, A. (2013) A Bayesian parameter estimation method applied to a marine ecosystem model for the coastal Gulf of Alaska. Ecological Modelling. 258, p. 122-133. Link 

Herbei, R. and Kubatko, L. (2013) Monte Carlo estimation of total variation distance of Markov chains on large spaces, with application to phylogenetics, Statistical Applications to Genetics and Molecular Biology, 12, p. 39-48. Link 

Flegal, J. and Herbei, R. (2012) Exact sampling for intractable probability distributions via a Bernoulli factory. Electronic Journal of Statistics, 6, 10-37. Link

Herbei, R., Lyons, B., Laybourn-Parry, J., Gardner, C., Priscu, J., McKnight, D. (2010) Physiochemical Properties Influencing Biomass Abundance and Primary Production in Lake Hoare, Antarctica. Ecological Modelling, 221, p. 1184-1193. Link

Herbei, R., McKeague, I. W., (2009) Geometric ergodicity of hybrid samplers for ill-posed inverse problems. Scandinavian Journal of Statistics, 36, p. 839-853. Link

Herbei, R., (2009) A Bayesian Approach to Inverse Problems: An Introductions with Examples. The Annals of West University of Timisoara, 3, 67--82.

Herbei, R., McKeague, I. W., Speer, K. (2008) Gyres and Jets: inversion of tracer data for ocean circulation structure. J. Phys. Ocean., 38, p. 1180-1202. Link

Herbei, R., Wegkamp, M., (2006) Classification with reject option. Canadian Journal of Statistics, 34 pp. 709-721. 

McKeague, I.W., Nicholls, G., Speer, K., Herbei, R. (2005). Statistical inversion of South Atlantic circulation in an abyssal neutral density layer. J. Mar. Research, 63, 683-704.