Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on estimation in Hilbertian linear models   We study estimation and prediction in linear models where the response and
the regressor variable both take values in some Hilbert space. Our main
objective is to obtain consistency of a principal components based estimator
for the regression operator under minimal assumptions. In particular, we avoid
some inconvenient technical restrictions that have been used throughout the
literature. We develop our theory in a time dependent setup which comprises as
important special case the autoregressive Hilbertian model.

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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex