Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing multivariate normality by zeros of the harmonic oscillator in
  characteristic function spaces   We study a novel class of affine invariant and consistent tests for normality
in any dimension. The tests are based on a characterization of the standard
$d$-variate normal distribution as the unique solution of an initial value
problem of a partial differential equation motivated by the harmonic
oscillator, which is a special case of a Schr\"odinger operator. We derive the
asymptotic distribution of the test statistics under the hypothesis of
normality as well as under fixed and contiguous alternatives. The tests are
consistent against general alternatives, exhibit strong power performance for
finite samples, and they are applied to a classical data set due to R.A.
Fisher. The results can also be used for a neighborhood-of-model validation
procedure.

28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th