出版日期：2008-12-01 00:00:00

著者：Chiou, Jeng-min; Li, Pai-ling

單位：淡江大學統計學系

出版者：Alexandria: American Statistical Association

著錄名稱、卷期、頁數：Journal of the American Statistical Association 103(484), pp.1684-1692

摘要：A correlation-based functional clustering method is proposed for grouping curves with similar shapes. A correlation between two random functions defined through the functional inner product is used as a similarity measure. Curves with similar shapes are embedded in the cluster subspace spanned by a mean shape function and eigenfunctions of the covariance kernel. The cluster membership prediction for each curve attempts to maximize the functional correlation between the observed and predicted curves via shape standardization and subspace projection among all possible clusters. The proposed method accounts for shape differentials through the functional multiplicative random-effects shape function model for each cluster, which regards random scales and intercept shifts as a nuisance. A consistent estimate is proposed for the random scale effect, whose sample variance estimate is also consistent. The derived identifiability conditions for the clustering procedure unravel the predictability of cluster memberships. Simulation studies and a real data example illustrate the proposed method.

關鍵字：Functional correlation; Functional data; Functional principal component analysis; Projection; Random scale effects; Shape similarity

語言：en

ISSN：0162-1459 1537-274X

期刊性質：國外

收錄於：SCI

通訊作者：Chiou, Jeng-min

審稿制度：是

國別：USA

出版型式：紙本 電子版