A test for directional-linear independence, with applications to wildfire orientation and size

@article{GarcaPortugus2013ATF,
  title={A test for directional-linear independence, with applications to wildfire orientation and size},
  author={Eduardo Garc{\'i}a-Portugu{\'e}s and Ana M G Barros and Rosa M. Crujeiras and Wenceslao Gonz{\'a}lez-Manteiga and Jos{\'e} M. C. Pereira},
  journal={Stochastic Environmental Research and Risk Assessment},
  year={2013},
  volume={28},
  pages={1261-1275}
}
A nonparametric test for assessing the independence between a directional random variable (circular or spherical, as particular cases) and a linear one is proposed in this paper. The statistic is based on the squared distance between nonparametric kernel density estimates and its calibration is done by a permutation approach. The size and power characteristics of various variants of the test are investigated and compared with those for classical correlation-based tests of independence in an… 
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