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math.ST2026

Goodness-of-Fit Testing for Groupwise Spherical Error Structures

Daria Tieplova, Nina Dörnemann, Tim Kutta

The analysis of large data panels is important in econometrics and beyond. Prediction and inference methods for such data typically rely on simplifying model assumptions for the co…

math.ST2026

Online Change-Point Monitoring for Object-valued Time Series

Yi Zhang, Tim Kutta, Xiaofeng Shao

We develop closed- and open-end procedures for monitoring changes in the marginal distribution of object-valued time series. The method combines two distance-based Hilbert-space em…

stat.ME2026

Change Point Detection and Localization in High-Dimensional Time Series

Patrick Bastian, Daria Tieplova, Nina Dörnemann +1

We present new inference tools for change point detection in high-dimensional time series. We discuss two distinct statistical applications: First, sequential change point testing…

stat.ME2026

Does PCA Work for Rough Functional Data?

Tim Kutta, Nina Dörnemann, Piotr Kokoszka

Functional data analysis is concerned with the analysis of infinite-dimensional data functions. Functional principal component analysis (FPCA) is a key method to obtain finite-dime…

math.OC2026

Iterative Data-Consistent Inversion with Multiple Push-forward Constraints

Tianyi Jiang, Troy Butler, Timothy Wildey +2

A foundational challenge in uncertainty quantification involves estimating a probability measure on the space of uncertain parameters such that its push-forward through a computati…