教師資料查詢 | 類別: 期刊論文 | 教師: 鄧文舜 Deng Wen-shuenn (瀏覽個人網頁)

標題:Estimation of 2D jump location curve and 3D jump location surface in nonparametric regression
學年100
學期1
出版(發表)日期2012/01/01
作品名稱Estimation of 2D jump location curve and 3D jump location surface in nonparametric regression
作品名稱(其他語言)
著者Chu, Chih-Kang; Siao, Jhao-Siang; Wang, Lih-Chung; Deng, Wen-Shuenn
單位淡江大學統計學系
出版者New York: Springer New York LLC
著錄名稱、卷期、頁數Statistics and Computing 22(1), pp.17-31
摘要A new procedure is proposed to estimate the jump location curve and surface in the two-dimensional (2D) and three-dimensional (3D) nonparametric jump regression models, respectively. In each of the 2D and 3D cases, our estimation procedure is motivated by the fact that, under some regularity conditions, the ridge location of the rotational difference kernel estimate (RDKE; Qiu in Sankhyā Ser. A 59, 268–294, 1997, and J. Comput. Graph. Stat. 11, 799–822, 2002; Garlipp and Müller in Sankhyā Ser. A 69, 55–86, 2007) obtained from the noisy image is asymptotically close to the jump location of the true image. Accordingly, a computational procedure based on the kernel smoothing method is designed to find the ridge location of RDKE, and the result is taken as the jump location estimate. The sequence relationship among the points comprising our jump location estimate is obtained. Our jump location estimate is produced without the knowledge of the range or shape of jump region. Simulation results demonstrate that the proposed estimation procedure can detect the jump location very well, and thus it is a useful alternative for estimating the jump location in each of the 2D and 3D cases.
關鍵字Jump location curve; Jump location surface; Kernel smoothing method; Nonparametric jump regression model; Rotational difference kernel estimate; Ridge location
語言英文
ISSN0960-3174; 1573-1375
期刊性質國外
收錄於SCI
產學合作
通訊作者Deng, Wen-Shuenn
審稿制度
國別美國
公開徵稿
出版型式紙本
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