Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional tests for elliptical symmetry using robust estimators   This paper presents a procedure for testing the hypothesis that the
underlying distribution of the data is elliptical when using robust location
and scatter estimators instead of the sample mean and covariance matrix. Under
mild assumptions that include elliptical distributions without first moments,
we derive the test statistic asymptotic behaviour under the null hypothesis and
under special alternatives. Numerical experiments allow to compare the
behaviour of the tests based on the sample mean and covariance matrix with that
based on robust estimators, under various elliptical distributions and
different alternatives. This comparison was done looking not only at the
observed level and power but we rather use the size-corrected relative exact
power which provides a tool to assess the test statistic skill to detect
alternatives. We also provide a numerical comparison with other competing
tests.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th