Research Interests

• Analysis of non-Euclidean and tensor data

• Algebraic statistics and graphical models

• Information geometry

• Decision theory
  
  My work currently focuses on problems at the intersection of algebra, geometry and statistics. One particular area I am interested in is the statistical analysis of non-Euclidean data. Classical statistical techniques can usually only be partially leveraged to deal with non-Euclidean data, presenting distinct challenges. A second, related topic that I like to think about is the study of the geometry and symmetries of statistical models. If you are interested in these areas please do not hesitate to reach out!

Preprints

• McCormack A., Hoff, P. (2023). Information Geometry and Asymptotics for Kronecker Covariances.
  arXiv preprint arXiv:2308.02260.
  arXiv

Publications

• Drton, M., Grosdos A., McCormack A. (2024). Rational Maximum Likelihood Estimators of Kronecker Covariance Matrices.
  (Accepted, Algebraic Statistics)
  arXiv

• McCormack, A. & Hoff, P. (2023). Equivariant Estimation of Fréchet Means.
  Biometrika, 110(4), 1055-1076.
  arXiv  BKA

• McCormack, A. & Hoff, P. (2022). The Stein Effect for Fréchet Means.
  Annals of Statistics, 50(6), 3647-3676.
  arXiv  AOS  PDF

• McCormack, A. & Hoff, P. (2022). Tests of Linear Hypotheses using Indirect Information.
  Canadian Journal of Statistics, 51(3), 852-876. Special Issue in Honour of Nancy Reid.
  arXiv  CJS

• Hoff, P., McCormack A. & Zhang, A. R. (2022). Core Shrinkage Covariance Estimation for Matrix-variate Data.
  Journal of the Royal Statistical Society Series B: Statistical Methodology, 85(5), 1659-1679.
  arXiv  JRSSB

• McCormack, A., Reid, N., Sartori, N., & Theivendran, S. A. (2019). A directional look at F tests.
  Canadian Journal of Statistics, 47(4), 619-627.
  arXiv  CJS