Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape theory via polar decomposition   This work proposes a new model in the context of statistical theory of shape,
based on the polar decomposition. The non isotropic noncentral elliptical shape
distributions via polar decomposition is derived in the context of zonal
polynomials, avoiding the invariant polynomials and the open problems for their
computation. The new polar shape distributions are easily computable and then
the inference procedure can be studied under exact densities. As an example of
the technique, a classical application in Biology is studied under three
models, the usual Gaussian and two non normal Kotz models; the best model is
selected by a modified BIC criterion, then a test for equality in polar shapes
is performed.

3
The categories of this paper are: physics
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom