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JANE-LING WANG - University of California Davis

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Functional Data Analysis: Old Methods New Theory
13 November 2014 from 4:00 PM to 5:00 PM
201 Thomas Bldg.
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Functional data are random functions on an interval or set and have emerged frequently in modern scientific experiments.  The analysis of such data is termed "Functional Data Analysis (FDA)". In this talk, we first give a brief overview of the various types of functional data and approaches to handle them.   Then we focus on the estimation of the mean function and covariance surface of the functional data.  The methodology and theory often vary and depend on the sampling plan of the functional data. We discuss a unified approach and theory that can handle different sampling plans and weighting schemes. The theory leads to interesting types of asymptotic behavior depending on the sampling plan, which also has an effect on the performance of different weighting schemes.  Two commonly adopted weighting scheme are compared. 


*Based on joint work with Xiaoke Zhang, UC Davis and University of Delaware.