Point-Symmetric Multivariate Density Function and Its Decomposition

Kiyotaka Iki and Sadao Tomizawa

Journal of Probability and Statistics, 2014, vol. 2014, 1-6

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljps:597630

DOI: 10.1155/2014/597630

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