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Contents Online
Statistics and Its Interface
Volume 17 (2024)
Number 3
Simultaneous change-point detection and curve estimation
Pages: 493 – 500
DOI: https://dx.doi.org/10.4310/23-SII807
Authors
Abstract
In this work, we focus on a nonparametric regression model that accounts for discontinuities. We propose a method called Simultaneous CHange-point detection And Curve Estimation (SCHACE) for effectively detecting jumps in a data sequence and accurately capturing nonlinear trends between these jumps in the mean curve. The SCHACE is a unified regularization framework that incorporates two statistical tools: the normalized fused Lasso for change-point detection and B-splines for curve estimation. Notably, this approach is a single-step method that does not require iteration and is straightforward to implement. We demonstrate the advantages of the SCHACE by simulated and real-world data examples.
Keywords
B-splines, jump regression, nonparametric regression, normalized fused lasso
2010 Mathematics Subject Classification
Primary 62G08. Secondary 62J07.
Received 25 December 2022
Accepted 16 July 2023
Published 19 July 2024