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Point-Symmetric Multivariate Density Function and Its Decomposition

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  • Kiyotaka Iki
  • Sadao Tomizawa

Abstract

For a -variate density function, the present paper defines the point-symmetry, quasi-point-symmetry of order ( ), and the marginal point-symmetry of order and gives the theorem that the density function is -variate point-symmetric if and only if it is quasi-point-symmetric and marginal point-symmetric of order . The theorem is illustrated for the multivariate normal density function.

Suggested Citation

  • Kiyotaka Iki & Sadao Tomizawa, 2014. "Point-Symmetric Multivariate Density Function and Its Decomposition," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-6, May.
    • Handle: RePEc:hin:jnljps:597630
    DOI: 10.1155/2014/597630
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