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This review examines change-point detection methods, emphasizing weak changes, indicating gaps and future directions.
This article provides a selective review of offline change-point detection methods, with a particular emphasis on weak change-points. The study of such weak changes plays a central role in establishing the asymptotic properties of test statistics designed for detecting fixed (non-vanishing) changes. In addition, it is crucial for analyzing the asymptotic behavior of change-point location estimators. We review the current state of the literature, identify key limitations, and outline promising directions for future research in this challenging setting.
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Aouissaoui et al. (2026) studied this question.
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