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We introduce a new broad and exible class of multivariate ellipticallysymmetric distributions in- cluding the elliptically symmetric logistic andmultivariate normal. Various probabilistic properties of the new distributionare studied, including the distribution of linear transformations, marginaldistributions, conditional distributions, moments, stochastic representationsand characteristic function.

A New Class of Symmetric Distributions Including the Elliptically Symmetric Logistic