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Multivariate symmetry via projection pursuit

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Abstract

Blough (1985,Ann. Inst. Statist. Math.,37, 545–555) developed a multivariate location region for a randomp-vectorX. The dimension of this region provides information on the degree of symmetry possessed by the distribution ofX. By considering all one-dimensional projections ofX, it is possible to ascertain the dimension of the location region. Projection pursuit techniques can therefore be used to study symmetry in multivariate data sets. An example from an Entomology investigation is presented illustrating these methods.

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Authors and Affiliations

  1. Department of Agricultural Economics, University of Arizona, 85721, Tucson, AZ, U.S.A.

    David K. Blough

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  1. David K. Blough
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Blough, D.K. Multivariate symmetry via projection pursuit. Ann Inst Stat Math 41, 461–475 (1989). https://doi.org/10.1007/BF00050662

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  • DOI: https://doi.org/10.1007/BF00050662

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