※ [本文轉錄自 NCTU-STAT98G 看板 #1Clo9YsK ] 作者: missergirl (貓貓) 看板: NCTU-STAT98G 標題: [演講公告] 10/22 統計所專題演講 時間: Thu Oct 21 01:09:49 2010 交通大學、清華大學 統計學研究所 專題演講 題　目：A Two-Stage Dimension Reduction Method for Induced Response and Its Applications 主講人：洪弘教授 (台灣大學流行病學與預防醫學研究所) 時　間：99年10月22日(星期五)上午10:40-11:30 (上午10:20-10:40茶會於交大統計所429室舉行) 地　點：交大綜合一館427室 Abstract Researches nowadays usually encounter the curse of high-dimensionality where many developed statistical models fail to overcome. To tackle this problem, suffcient dimension reduction aims to search the central subspace (CS) in which necessary information of covariates regarding response are contained. Subsequent statistical analysis can then be implemented in a low-dimensional space while preserving relevant information. Several studies are interested in certain transformation of the response (the induced response) instead of the original one. With dfferent transformations under consideration, the corresponding CS may vary. When estimating this induced central subspace (ICS), existing dimension reduction methods, however, may suffer the problem of ineffciency. In this article, we propose a more effcient two-stage estimation procedure to estimate the ICS. This approach is further extended to the case of censored response. An application to combining multiple biomarkers is also illustrated. Simulation studies and two data examples, the Cardiac Arrhythmia Study and the Angiography Cohort Study, evidence the usefulness of our method. --

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