Publications

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

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

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

van Delft, A. and Blumberg, A.J.,  to appear in The Annals of Statistics (2025+), arXiv:2304.01984. 

• 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., to appear in Bernoulli (2025+), arXiv:2401.07522. 

• 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.