Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On initial direction, orientation and discreteness in the analysis of
  circular variables   In this paper, we propose a discrete circular distribution obtained by
extending the wrapped Poisson distribution. This new distribution, the
Invariant Wrapped Poisson (IWP), enjoys numerous advantages: simple tractable
density, parameter-parsimony and interpretability, good circular dependence
structure and easy random number generation thanks to known
marginal/conditional distributions. Existing discrete circular distributions
strongly depend on the initial direction and orientation, i.e. a change of the
reference system on the circle may lead to misleading inferential results. We
investigate the invariance properties, i.e. invariance under change of initial
direction and of the reference system orientation, for several continuous and
discrete distributions. We prove that the introduced IWP distribution satisfies
these two crucial properties. We estimate parameters in a Bayesian framework
and provide all computational details to implement the algorithm. Inferential
issues related to the invariance properties are discussed through numerical
examples on artificial and real data.

10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess