Nonparametric changed segment detection in functional data
Articles
Karolis Bartkus
Vilnius University image/svg+xml
https://orcid.org/0009-0003-6476-8721
Alfredas Račkauskas
Vilnius University image/svg+xml
https://orcid.org/0000-0002-6865-6570
Published 2026-01-01
https://doi.org/10.15388/namc.2026.31.44489
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Keywords

epidemic change
reproducing kernel Hilbert space
Cramér–von Mises-type statistic

How to Cite

Bartkus, K. and Račkauskas, A. (2026) “Nonparametric changed segment detection in functional data”, Nonlinear Analysis: Modelling and Control, 31(1), pp. 194–211. doi:10.15388/namc.2026.31.44489.

Abstract

We address the epidemic change point detection problem without parametric assumptions. We propose statistics based on Cramér–von Mises-type statistic and reproducing kernel Hilbert space that iterate through all interval subsets, rescaling them to remain sensitive to both short and long epidemics. We prove limit theorems and provide quantiles for both statistics under the different parametrizations. The simulations show consistent power across a wide range of scenarios, and an application to electricity balancing prices consistently detects a market disturbance.

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