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