Title Multiple change-point detection in a functional sample via the š¯’¢-sum process /
Authors Danielius, Tadas ; RaĨkauskas, Alfredas
DOI 10.3390/math10132294
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Is Part of Mathematics.. Basel : MDPI. 2022, vol. 10, iss. 13, art. no. 2294, p. [1-27].. eISSN 2227-7390
Keywords [eng] p-variation ; functional data ; functional change-point detection ; functional principal component analysis
Abstract [eng] We first define the G-CUSUM process and investigate its theoretical aspects including asymptotic behavior. By choosing different sets G, we propose some tests for multiple change-point detections in a functional sample. We apply the proposed testing procedures to the real-world neurophysiological data and demonstrate how it can identify the existence of the multiple change-points and localize them.
Published Basel : MDPI
Type Journal article
Language English
Publication date 2022
CC license CC license description