2015

東海大學統計學系學術演講20150428

公告時間:2015-05-21 14:27:26
公告單位:統計學系
詳細公告內容
公告標題 [公告]東海大學統計學系學術演講20150428
公告時間 2015-04-26 10:05:03
公告單位 統計學系

公告內容

東海大學統計學系學術演講

時 間:104年4月28日(星期二下午2:10~3:10)
地 點:管理學院新大樓M367
主講人:江其衽 研究員 (中央研究院統計科學研究所) 
講 題:Inverse regression for longitudinal data


Abstract
Sliced inverse regression is an appealing dimension reduction method for regression models with multivariate covariates. It has been extended to functional covariates where the whole trajectories of random functional covariates are observed completely. We aim at developing an inverse regression approach for intermittently and sparsely measured longitudinal covariates. We show, under some regularity conditions, that the convergence rate of the estimated EDR, effective dimension reduction, directions is a function of smoothing parameters, sample size and the number of eigenfucntions used to reconstruct the empirical inverse of the covariance operator. Simulation studies and data analysis are also provided to demonstrate the performance of our method.

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