Statistics Seminar: Aurore Delaigle (UMelb) -- New methods for Analyzing Partially Observed Functional Data

Abstract. 

We consider analysis of functional data which are only partially observed. 
Often in such cases, the observed fragments of curves are supported on quite different 
intervals, in which case standard methods of analysis cannot be used. We propose new 
approaches to analysing fragments of curves observed on different intervals. The 
techniques we suggest involve discretising the observed fragments, and then extending 
them outside the interval where they were observed. Using the same approach we can 
construct estimators of the mean and covariance functions, and, for example, deal
with functional linear regression. 

This is joint work with Peter Hall.