Measures of radial asymmetry for bivariate random vectors. (English) Zbl 1364.62116
Summary: This article considers the problem of measuring radial asymmetry of a bivariate vector of continuous random variables whose components are symmetric about the center of symmetry. We introduce a set of axioms for measures of radial asymmetry, define new measures satisfying the axiomatic, study some properties, and present corresponding results for sample statistics. Several examples illustrate our results.
MSC:
| 62H05 | Characterization and structure theory for multivariate probability distributions; copulas |
| 62G10 | Nonparametric hypothesis testing |
| 62G30 | Order statistics; empirical distribution functions |
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