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A diffusion approach to Stein's method on Riemannian manifolds (2024)
Journal Article
Le, H., Lewis, A., Bharath, K., & Fallaize, C. (2024). A diffusion approach to Stein's method on Riemannian manifolds. Bernoulli, 30(2), 1079-1104. https://doi.org/10.3150/23-bej1625

We detail an approach to developing Stein’s method for bounding integral metrics on probability measures defined on a Riemannian manifold M. Our approach exploits the relationship between the generator of a diffusion on M having a target invariant me... Read More about A diffusion approach to Stein's method on Riemannian manifolds.

Bayesian Model Choice for Directional Data (2023)
Journal Article
Fallaize, C. J., & Kypraios, T. (2024). Bayesian Model Choice for Directional Data. Journal of Computational and Graphical Statistics, 33(1), 25-34. https://doi.org/10.1080/10618600.2023.2206076

This article is concerned with the problem of choosing between competing models for directional data. In particular, we consider the question of whether or not two independent samples of axial data come from the same Bingham distribution. This is not... Read More about Bayesian Model Choice for Directional Data.

Bayesian protein sequence and structure alignment (2020)
Journal Article
Fallaize, C. J., Green, P., Mardia, K., & Barber, S. (2020). Bayesian protein sequence and structure alignment. Journal of the Royal Statistical Society: Series C, 69(2), 301-325. https://doi.org/10.1111/rssc.12394

© 2020 Royal Statistical Society The structure of a protein is crucial in determining its functionality and is much more conserved than sequence during evolution. A key task in structural biology is to compare protein structures to determine evolutio... Read More about Bayesian protein sequence and structure alignment.

Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China (2019)
Journal Article
Cong, W., Zhang, N., Hu, R., Zou, F., Zou, Y., Zhong, W., …Elsheikha, H. M. (2020). Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China. Ecotoxicology and Environmental Safety, 189, Article 109999. https://doi.org/10.1016/j.ecoenv.2019.109999

Copyright © 2019 Elsevier Inc. All rights reserved. In the present study, we performed a cross-sectional survey to determine the occurrence and genotype distribution of T. gondii DNA in soil samples collected from different sources from six geographi... Read More about Prevalence, risk factors and genotype distribution of Toxoplasma gondii DNA in soil in China.

Exact Bayesian inference for the Bingham distribution (2016)
Journal Article
Fallaize, C. J., & Kypraios, T. (in press). Exact Bayesian inference for the Bingham distribution. Statistics and Computing, 26(1), https://doi.org/10.1007/s11222-014-9508-7

This paper is concerned with making Bayesian inference from data that are assumed to be drawn from a Bingham distribution. A barrier to the Bayesian approach is the parameter-dependent normalising constant of the Bingham distribution, which, even whe... Read More about Exact Bayesian inference for the Bingham distribution.