Abstract
It was recently shown for arbitrary multivariate probability distributions that angular symmetry is completely characterized by location depth. We use this mathematical result to construct a statistical test of the null hypothesis that the data were generated by a symmetric distribution, and illustrate the test by several real examples.
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Rousseeuw, P.J., Struyf, A. (2002). A Depth Test for Symmetry. In: Huber-Carol, C., Balakrishnan, N., Nikulin, M.S., Mesbah, M. (eds) Goodness-of-Fit Tests and Model Validity. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0103-8_30
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DOI: https://doi.org/10.1007/978-1-4612-0103-8_30
Publisher Name: Birkhäuser, Boston, MA
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