A test for directional-linear independence, with applications to wildfire orientation and size
Abstract
The relation between wildfire orientation and size is analyzed by means of a nonparametric test for directional-linear independence. The test statistic is designed for assessing the independence between two random variables of different nature, specifically directional (fire orientation, circular or spherical, as particular cases) and linear (fire size measured as burnt area, scalar), based on a directional-linear nonparametric kernel density estimator. In order to apply the proposed methodology in practice, a resampling procedure based on permutations and bootstrap is provided. The finite sample performance of the test is assessed by a simulation study, comparing its behavior with other classical tests for the circular-linear case. Finally, the test is applied to analyze wildfire data from Portugal.
Keywords
Cite
@article{arxiv.1301.2550,
title = {A test for directional-linear independence, with applications to wildfire orientation and size},
author = {Eduardo García-Portugués and Ana M. G. Barros and Rosa M. Crujeiras and Wenceslao González-Manteiga and J. M. C. Pereira},
journal= {arXiv preprint arXiv:1301.2550},
year = {2020}
}
Comments
19 pages, 4 figures, 3 tables