Marcos Matabuena, Aritra Ghosal, Wendy Mering, and Alexander Petersen (2025+). Predicting distributional profiles of physical activity in the NHANES database using a Partially Linear Single-Index Fréchet Regression model, to appear in Biostatistics.

Alexander Petersen (2024). Mean and covariance estimation for discretely observed high-dimensional functional data: rates of convergence and division of observational regimes, Journal of Multivariate Analysis, 204, 105355.

Hanâ Lbath, Alexander Petersen, Wendy Meiring, and Sophie Achard (2024). Clustering-Based Inter-Regional Correlation Estimation, Computational Statistics & Data Analysis, 191, 107876.

Aritra Ghosal, Wendy Meiring, and Alexander Petersen (2023). Fréchet single index models for object response regression, Electronic Journal of Statistics, 17(1), 1074--1112.

Javier Zapata, Sang-Yun Oh, and Alexander Petersen (2022+). Partial separability and functional graphical models for multivariate Gaussian processes, Biometrika, 109(3), 665--681.

Alexander Petersen, Chao Zhang, and Piotr Kokoszka (2022). Modeling probability density functions as data objects, Econometrics and Statistics 21, 159--178.

Alexander Petersen, Xi Liu, and Afshin A. Divani (2021). Wasserstein F-tests and confidence bands for the Fréchet regression of density response curves, Annals of Statistics 49(1), 590--611.

Alexander Petersen and Hans-Georg Müller (2019). Wasserstein covariance for multiple random densities, Biometrika 106(2), 339--351.

Alexander Petersen, Sean Deoni, and Hans-Georg Müller (2019). Fréchet estimation of time-varying covariance matrices from sparse data, with application to the regional co-evolution of myelination in the developing brain, The Annals of Applied Statistics 13(1), 393--419.

Alexander Petersen and Hans-Georg Müller (2019). Fréchet regression for random objects with Euclidean predictors, Annals of Statistics 47(2), 691--719.

Alexander Petersen, Jianyang Zhao, Owen Carmichael, and Hans-Georg Müller (2016). Quantifying individual brain connectivity with functional principal component analysis for networks, Brain Connectivity 6, 540--547.

Alexander Petersen and Hans-Georg Müller (2016). Fréchet integration and adaptive metric selection for interpretable covariances of multivariate functional data, Biometrika 103, 103--120.

Alexander Petersen and Hans-Georg Müller (2016). Functional data analysis for density functions by transformation to a Hilbert space, Annals of Statistics 44(1), 183--218.