Title Nonparametric changed segment detection in functional data
Authors Bartkus, Karolis ; Račkauskas, Alfredas
DOI 10.15388/namc.2026.31.44489
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Is Part of Nonlinear analysis: modelling and control.. Vilnius : Vilnius University Press. 2026, vol. 31, no. 1, p. 194-211.. ISSN 1392-5113. eISSN 2335-8963
Keywords [eng] epidemic change ; reproducing kernel Hilbert space ; Cramér–von Mises-type statistic
Abstract [eng] 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.
Published Vilnius : Vilnius University Press
Type Journal article
Language English
Publication date 2026
CC license CC license description