Publications and preprints

• Geometric and measure-theoretic characterizations of the measure-determining property of balls in metric spaces 

van Delft, A. (2026), arXiv:2606.13084

• Intrinsic limit theory for metric-space-valued processes: structure-preserving separating classes and weak invariance principles 

van Delft, A. (2026), arXiv:2606.13084

• Measures determined by their values on balls and Gromov-Wasserstein convergence 

van Delft, A, and Blumberg, A.J. (2024), arXiv:2401.11125

• Balancing the edge effect and dimension of spectral spatial statistics under irregular sampling with applications to isotropy testing 

Eckle, T., van Delft, A. and Dette H., Bernoulli (2026), 32(1):442-446. 

• A statistical framework for analyzing shape in a time series of random geometric objects

van Delft, A. and Blumberg, A.J.,  The Annals of Statistics (2025), 53(2):561--588. arXiv:2304.01984. 

• a general framework to quantify deviations from structural assumptions in the analysis of nonstationary function-valued processes: 

van Delft, A. and Dette H. (2024), The Annals of Statistics, 52(2):550-579.

 Xiv:2208.10158

• Pivotal tests for relevant differences in the second order dynamics  of functional time series

van Delft, A. and Dette H. (2022),  Bernoulli, 28(4):2260--2293.

• A similarity measure for second order properties of non-stationary functional time series with applications to clustering and testing

van Delft, A. and Dette H. (2021), Bernoulli, 27(1): 469--501.

• A nonparametric test for stationarity in functional time series

van Delft, A., Characiejus, V. and Dette H. (2021), Statistica Sinica, 31: 1375--1395.  

• Testing for stationarity of functional time series in the frequency domain

Aue, A. and van Delft, A. (2020),  The Annals of Statistics, 48(5):2505--2547.

• A note on quadratic forms of stationary functional time series under mild conditions

van Delft, A. (2020), Stochastic Processes and their Applications, 130(7):4206--4251. 

• A note on Herglotz's Theorem for time series on the function space

van Delft, A.  and Eichler, M. (2020), Stochastic Processes and their Applications, 30(6):3687--3710.

• Data-adaptive estimation of time-varying spectral densities

van Delft, A.  and Eichler, M. (2019),  Journal of Computational and Graphical Statistics, 28(2):244--255.

• Locally stationary functional time series

van Delft, A. and Eichler, M. (2018), Electronic Journal of Statistics, 12(1):107--170.