Functional partial canonical correlation
Statistics Theory
2015-06-02 v1 Statistics Theory
Abstract
A rigorous derivation is provided for canonical correlations and partial canonical correlations for certain Hilbert space indexed stochastic processes. The formulation relies on a key congruence mapping between the space spanned by a second order, -valued, process and a particular Hilbert function space deriving from the process' covariance operator. The main results are obtained via an application of methodology for constructing orthogonal direct sums from algebraic direct sums of closed subspaces.
Cite
@article{arxiv.1506.00414,
title = {Functional partial canonical correlation},
author = {Qing Huang and Rosemary Renaut},
journal= {arXiv preprint arXiv:1506.00414},
year = {2015}
}
Comments
Published at http://dx.doi.org/10.3150/14-BEJ597 in the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)