Measures of radial asymmetry for bivariate random vectors

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 p...

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Bibliographic Details
Published in:Statistical papers (Berlin, Germany) Germany), 2013-05, Vol.54 (2), p.271-286
Main Authors: Dehgani, Azam, Dolati, Ali, Úbeda-Flores, Manuel
Format: Article
Language:English
Subjects:
Asymmetry
Axioms
Economic models
Economic theory
Economic Theory/Quantitative Economics/Mathematical Methods
Economics
Finance
Insurance
Management
Mathematical analysis
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Probability Theory and Stochastic Processes
Random variables
Regular Article
Samples
Statistical analysis
Statistical methods
Statistics
Statistics for Business
Studies
Symmetry
Vectors (mathematics)
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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.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-011-0425-y