May 2015
Intermediate to advanced
384 pages
9h 20m
English
book
Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
by Tailen Hsing, Randall Eubank
Content preview from Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators
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7.5 RKHS valued processes
In Section 7.4, we considered the setting where a mean-square continuous stochastic process 
is also a random element of 
. Here we consider what transpires when the Hilbert space 
is an RKHS 
where the rk 
is a continuous function defined on 
.
In contrast to the 
functional space in Section 7.4, as the elements of 
are functions, there is no need to distinguish between the process 
and the potential Hilbert space element 
. As such, the theoretical development at least in ...
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