Contributions to classification and calibration with high-dimensional data
Ge, Nanxiang
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https://hdl.handle.net/2142/21457
Description
Title
Contributions to classification and calibration with high-dimensional data
Author(s)
Ge, Nanxiang
Issue Date
1996
Doctoral Committee Chair(s)
Simpson, Douglas G.
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Biology, Biostatistics
Statistics
Language
eng
Abstract
Statistical classification and calibration with high-dimensional data are studied. We have proposed new classification and calibration procedures for high-dimensional data and have established dimensional consistency for certain high-dimensional classification and calibration procedures. Strong dimensional consistency are obtained in certain cases.
By treating data as discretization of random functions, we have proposed smoothing based classification and calibration procedures. We have established consistency and strong consistency for those new procedures and have shown that smoothing based procedures improve the performance when random time-shift exists.
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