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Measures of radial asymmetry for bivariate random vectors

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Abstract

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.

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Authors and Affiliations

  1. Department of Statistics, College of Mathematics, Yazd University, 89195–741, Yazd, Iran

    Azam Dehgani & Ali Dolati

  2. Departamento de Estadística y Matemática Aplicada, Universidad de Almería, Carretera de Sacramento s/n, 04120, La Cañada de San Urbano, Almería, Spain

    Manuel Úbeda-Flores

Authors
  1. Azam Dehgani
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  2. Ali Dolati
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  3. Manuel Úbeda-Flores
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Correspondence to Ali Dolati.

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Dehgani, A., Dolati, A. & Úbeda-Flores, M. Measures of radial asymmetry for bivariate random vectors. Stat Papers 54, 271–286 (2013). https://doi.org/10.1007/s00362-011-0425-y

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