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Covariance analysis for temporal data, with applications to DNA modelling (2017)
Journal Article
Dryden, I. L., Hill, B. C., Wang, H., & Laughton, C. A. (2017). Covariance analysis for temporal data, with applications to DNA modelling. Stat, 6(1), 218-230. https://doi.org/10.1002/sta4.149

We introduce methodology for analysing the mean size-and-shape and covariance matrix of landmark data that are collected over time. Motivated by a study of DNA damage, we study some permutation based tests for investigating significant differences in... Read More about Covariance analysis for temporal data, with applications to DNA modelling.

Nonparametric Statistical Methods on Manifolds (2016)
Book Chapter
Dryden, I. L., Le, H., Preston, S. P., & Wood, A. T. A. (2016). Nonparametric Statistical Methods on Manifolds. In M. Denker, & E. C. Waymire (Eds.), Rabi N. Bhattacharya: Selected Papers (587-597). Springer. https://doi.org/10.1007/978-3-319-30190-7_17

One of the many fundamental contributions that Rabi Bhattacharya, together with his coauthors, has made is the development of a general nonparametric theory of statistical inference on manifolds, in particular related to both intrinsic and extrinsic... Read More about Nonparametric Statistical Methods on Manifolds.

Participatory modelling for stakeholder involvement in the development of flood risk management intervention options (2016)
Journal Article
Maskrey, S. A., Mount, N. J., Thorne, C. R., & Dryden, I. L. (2016). Participatory modelling for stakeholder involvement in the development of flood risk management intervention options. Environmental Modelling and Software, 82, 275-294. https://doi.org/10.1016/j.envsoft.2016.04.027

Advancing stakeholder participation beyond consultation offers a range of benefits for local flood risk management, particularly as responsibilities are increasingly devolved to local levels. This paper details the design and implementation of a par... Read More about Participatory modelling for stakeholder involvement in the development of flood risk management intervention options.

Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics (2015)
Journal Article
Zhou, D., Dryden, I. L., Koloydenko, A. A., Audenaert, K. M., & Bai, L. (2016). Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics. Journal of Applied Statistics, 43(5), 943-978. https://doi.org/10.1080/02664763.2015.1080671

Practical statistical analysis of diffusion tensor images is considered, and we focus primarily on methods that use metrics based on Euclidean distances between powers of diffusion tensors. First we describe a family of anisotropy measures based on a... Read More about Regularisation, interpolation and visualisation of diffusion tensor images using non-Euclidean statistics.

Bayesian registration of functions and curves (2015)
Journal Article
Cheng, W., Dryden, I. L., & Huang, X. (2015). Bayesian registration of functions and curves. Bayesian Analysis, 2015, https://doi.org/10.1214/15-BA957

Bayesian analysis of functions and curves is considered, where warping and other geometrical transformations are often required for meaningful comparisons. The functions and curves of interest are represented using the recently introduced square root... Read More about Bayesian registration of functions and curves.

Covariance weighted procrustes analysis (2015)
Book Chapter
Brignell, C. J., Dryden, I. L., & Browne, W. J. (2015). Covariance weighted procrustes analysis. In P. K. Turaga, & A. Srivastava (Eds.), Riemannian Computing in Computer Vision (189-209). https://doi.org/10.1007/978-3-319-22957-7_9

© Springer International Publishing Switzerland 2016. We revisit the popular Procrustes matching procedure of landmark shape analysis and consider the situation where the landmark coordinates have a completely general covariance matrix, extending pre... Read More about Covariance weighted procrustes analysis.

Size and shape analysis of error-prone shape data (2014)
Journal Article
Du, J., Dryden, I. L., & Huang, X. (2015). Size and shape analysis of error-prone shape data. Journal of the American Statistical Association, 110(509), https://doi.org/10.1080/01621459.2014.908779

We consider the problem of comparing sizes and shapes of objects when landmark data are prone to measurement error. We show that naive implementation of ordinary Procrustes analysis that ignores measurement error can compromise inference. To account... Read More about Size and shape analysis of error-prone shape data.

Distances and inference for covariance operators (2014)
Journal Article
Pigoli, D., Aston, J. A., Dryden, I. L., & Secchi, P. (2014). Distances and inference for covariance operators. Biometrika, 101(2), https://doi.org/10.1093/biomet/asu008

A framework is developed for inference concerning the covariance operator of a functional random process, where the covariance operator itself is an object of interest for statistical analysis. Distances for comparing positive-definite covariance mat... Read More about Distances and inference for covariance operators.

Rank-based model selection for multiple ions quantum tomography (2012)
Journal Article
Gu??, M., Kypraios, T., & Dryden, I. (2012). Rank-based model selection for multiple ions quantum tomography. New Journal of Physics, 14(105002), https://doi.org/10.1088/1367-2630/14/10/105002

The statistical analysis of measurement data has become a key component of many quantum engineering experiments. As standard full state tomography becomes unfeasible for large dimensional quantum systems, one needs to exploit prior information and th... Read More about Rank-based model selection for multiple ions quantum tomography.

A Bayesian elicitation of veterinary beliefs regarding systemic dry cow therapy: variation and importance for clinical trial design (2012)
Journal Article
Higgins, H., Dryden, I. L., & Green, M. J. (2012). A Bayesian elicitation of veterinary beliefs regarding systemic dry cow therapy: variation and importance for clinical trial design. Preventive Veterinary Medicine, 106(2), https://doi.org/10.1016/j.prevetmed.2012.01.017

The two key aims of this research were: (i) to conduct a probabilistic elicitation to quantify the variation in veterinarians’ beliefs regarding the efficacy of systemic antibiotics when used as an adjunct to intra-mammary dry cow therapy and (ii) to... Read More about A Bayesian elicitation of veterinary beliefs regarding systemic dry cow therapy: variation and importance for clinical trial design.

Bayesian alignment of continuous molecular shapes using random fields (2008)
Journal Article
Czogiel, I., Dryden, I. L., & Brignell, C. J. Bayesian alignment of continuous molecular shapes using random fields. Manuscript submitted for publication

Statistical methodology is proposed for comparing molecular shapes. In order to account for the continuous nature of molecules, classical shape analysis methods are combined with techniques used for predicting random fields in spatial statistics. Ap... Read More about Bayesian alignment of continuous molecular shapes using random fields.