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Activity Number: 276
Type: Topic Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: IMS
Abstract - #309864
Title: High-Dimension, Low Sample Size (HDLSS) Data Asymptotics
Author(s): Xuxin Liu*+
Companies: The University of North Carolina at Chapel Hill
Address: Dept. of Statistics and Operations Research, Chapel Hill, NC, 27514,
Keywords: High Dimensional data ; Microarray ; Batch adjustment
Abstract:

We present the HDLSS asymptotics, in the sense that the dimension goes to infinity and the sample sizes are fixed. The geometric structure of the data cloud becomes very simple under HDLSS asymptotics. We compare two micro-array data combination methods, PAM and DWD. These two methods have very different HDLSS asymptotic properties. We give the conditions for the consistency and inconsistency of these two methods for the combination of two data sets with unbalanced sample sizes.


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Revised September, 2007