Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the circular correlation coefficients for bivariate von Mises
  distributions on a torus   This paper studies circular correlations for the bivariate von Mises sine and
cosine distributions. These are two simple and appealing models for bivariate
angular data with five parameters each that have interpretations comparable to
those in the ordinary bivariate normal model. However, the variability and
association of the angle pairs cannot be easily deduced from the model
parameters unlike the bivariate normal. Thus to compute such summary measures,
tools from circular statistics are needed. We derive analytic expressions and
study the properties of the Jammalamadaka-Sarma and Fisher-Lee circular
correlation coefficients for the von Mises sine and cosine models.
Likelihood-based inference of these coefficients from sample data is then
presented. The correlation coefficients are illustrated with numerical and
visual examples, and the maximum likelihood estimators are assessed on
simulated and real data, with comparisons to their non-parametric counterparts.
Implementations of these computations for practical use are provided in our R
package BAMBI.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga