Publications-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 An algorithm for estimating threshold boundary regression models
作者 張志浩
Chang, Chih-Hao;Emura, Takeshi;Huang, Shih-Feng
貢獻者 統計系
關鍵詞 Least-squares method; Support vector machine; Weighted binary classification
日期 2026-02
上傳時間 20-Apr-2026 10:21:00 (UTC+8)
摘要 This paper presents an innovative iterative two-stage algorithm designed for estimating threshold boundary regression (TBR) models. By transforming the non-differentiable least-squares (LS) problem inherent in fitting TBR models into an optimization framework, our algorithm combines the optimization of a weighted classification error function for the threshold model with obtaining LS estimators for regression models. To improve the efficiency and flexibility of TBR model estimation, we integrate the weighted support vector machine (WSVM) as a surrogate method for solving the weighted classification problem. The TBR-WSVM algorithm offers several key advantages over recently developed methods: it eliminates pre-specification requirements for threshold parameters, accommodates flexible estimation of nonlinear threshold boundaries, and streamlines the estimation process. We conducted several simulation studies to illustrate the finite-sample performance of TBR-WSVM. Finally, we demonstrate the practical applicability of the TBR model through a real data analysis.
關聯 Computational Statistics and Data Analysis, Vol.214, 108274
資料類型 article
DOI https://doi.org/10.1016/j.csda.2025.108274
dc.contributor 統計系
dc.creator (作者) 張志浩
dc.creator (作者) Chang, Chih-Hao;Emura, Takeshi;Huang, Shih-Feng
dc.date (日期) 2026-02
dc.date.accessioned 20-Apr-2026 10:21:00 (UTC+8)-
dc.date.available 20-Apr-2026 10:21:00 (UTC+8)-
dc.date.issued (上傳時間) 20-Apr-2026 10:21:00 (UTC+8)-
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=182133-
dc.description.abstract (摘要) This paper presents an innovative iterative two-stage algorithm designed for estimating threshold boundary regression (TBR) models. By transforming the non-differentiable least-squares (LS) problem inherent in fitting TBR models into an optimization framework, our algorithm combines the optimization of a weighted classification error function for the threshold model with obtaining LS estimators for regression models. To improve the efficiency and flexibility of TBR model estimation, we integrate the weighted support vector machine (WSVM) as a surrogate method for solving the weighted classification problem. The TBR-WSVM algorithm offers several key advantages over recently developed methods: it eliminates pre-specification requirements for threshold parameters, accommodates flexible estimation of nonlinear threshold boundaries, and streamlines the estimation process. We conducted several simulation studies to illustrate the finite-sample performance of TBR-WSVM. Finally, we demonstrate the practical applicability of the TBR model through a real data analysis.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Computational Statistics and Data Analysis, Vol.214, 108274
dc.subject (關鍵詞) Least-squares method; Support vector machine; Weighted binary classification
dc.title (題名) An algorithm for estimating threshold boundary regression models
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1016/j.csda.2025.108274
dc.doi.uri (DOI) https://doi.org/10.1016/j.csda.2025.108274