Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonparametric tests of independence for circular data based on
  trigonometric moments   We introduce nonparametric tests of independence for bivariate circular data
based on trigonometric moments. Our contributions lie in (i) proposing
nonparametric tests that are locally and asymptotically optimal against
bivariate cosine von Mises alternatives and (ii) extending these tests, via the
empirical characteristic function, to obtain consistent tests against broader
sets of alternatives, eventually being omnibus. We thus provide a collection of
trigonometric-based tests of varying generality and known optimalities. The
large-sample behaviours of the tests under the null and alternative hypotheses
are obtained, while simulations show that the new tests are competitive against
previous proposals. Two data applications in astronomy and forest science
illustrate the usage of the tests.

0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th