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題名 Trimmed estimator for circular-circular regression: breakdown properties and an exact algorithm for computation
作者 鄭宗記
Cheng, Tsung-Chi
Jha, J.;Biswas, Atanu
貢獻者 統計系
關鍵詞 Computation; Möbius transformation; trimmed estimator; von Mises distribution; wrapped Cauchy distribution
日期 2022-04
上傳時間 21-Sep-2022 11:46:16 (UTC+8)
摘要 The paper attempts to address the robustness issues in circular–circular regression. The Möbius transformation-based link function for circular–circular regression is considered. Defining the concept of breakdown point in this context, the robustness issues of the estimators in this model are discussed. Maximum trimmed cosine estimator in this context is considered and the breakdown point of the estimator is calculated. An exact polynomial time algorithm is then proposed for the computation of the estimator which makes the methodology useful and readily applicable for empirical datasets. Simulation studies show that the estimator is robust with respect to the outliers. An analysis of real data is performed to illustrate the proposed methodology.
關聯 Statistics, 56(2), 375-395
資料類型 article
DOI https://doi.org/10.1080/02331888.2022.2066673
dc.contributor 統計系
dc.creator (作者) 鄭宗記
dc.creator (作者) Cheng, Tsung-Chi
dc.creator (作者) Jha, J.;Biswas, Atanu
dc.date (日期) 2022-04
dc.date.accessioned 21-Sep-2022 11:46:16 (UTC+8)-
dc.date.available 21-Sep-2022 11:46:16 (UTC+8)-
dc.date.issued (上傳時間) 21-Sep-2022 11:46:16 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/142029-
dc.description.abstract (摘要) The paper attempts to address the robustness issues in circular–circular regression. The Möbius transformation-based link function for circular–circular regression is considered. Defining the concept of breakdown point in this context, the robustness issues of the estimators in this model are discussed. Maximum trimmed cosine estimator in this context is considered and the breakdown point of the estimator is calculated. An exact polynomial time algorithm is then proposed for the computation of the estimator which makes the methodology useful and readily applicable for empirical datasets. Simulation studies show that the estimator is robust with respect to the outliers. An analysis of real data is performed to illustrate the proposed methodology.
dc.format.extent 109 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Statistics, 56(2), 375-395
dc.subject (關鍵詞) Computation; Möbius transformation; trimmed estimator; von Mises distribution; wrapped Cauchy distribution
dc.title (題名) Trimmed estimator for circular-circular regression: breakdown properties and an exact algorithm for computation
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/02331888.2022.2066673
dc.doi.uri (DOI) https://doi.org/10.1080/02331888.2022.2066673