On the Performance of Some Robust Nonparametric Location Measures Relative to a General Notion of Mu

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Multivariate Symmetry and Asymmetry (2006, methodology): “A new nonparametric notion of multivariate symmetry that provides precisely the broadest possible manifestation of this criterion is introduced in [55].”
Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution (2003, methodology): “The result refers to central symmetry, a simple and wide concept of symmetry, which is commonly in use in nonparametric statistics; see Zuo and Serfling (2000).”
Integrated depth for functional data: statistical properties and consistency (2016, background): “However, for discrete probability distributions these latter properties may fail, as noticed by Zuo and Serfling [39].”
A Depth Function and a Scale Curve Based on Spatial Quantiles (2002, background): “In turn, by Theorem 4.1 of Zuo and Serfling (2000b), this yields almost sure convergence of the central regions, CFn(r) → CF (r) a.s., provided that the boundary {x : ‖Q−1F (x)‖ = r} of CF (r) has F -probability 0.”