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Published in:
2012 | OriginalPaper | Chapter
Hypothesis Testing
Authors : Wolfgang Karl Härdle, Léopold Simar
Published in: Applied Multivariate Statistical Analysis
Publisher: Springer Berlin Heidelberg
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In the preceding chapter, the theoretical basis of estimation theory was presented. Now we turn our interest towards testing issues: we want to test the hypothesis
H
0
that the unknown parameter
θ
belongs to some subspace of
$\mathbb {R}^{q}$
. This subspace is called the
null set
and will be denoted by
$\Omega_{0} \subset \mathbb {R}^{q}$
.