Point-symmetric multivariate density function and its decomposition. (English) Zbl 1307.62140
Summary: For a \(T\)-variate density function, the present paper defines the point-symmetry, quasi-point-symmetry of order \(k\) (\(<T\)), and the marginal point-symmetry of order \(k\) and gives the theorem that the density function is \(T\)-variate point-symmetric if and only if it is quasi-point-symmetric and marginal point-symmetric of order \(k\). The theorem is illustrated for the multivariate normal density function.
MSC:
| 62H05 | Characterization and structure theory for multivariate probability distributions; copulas |
| 62H17 | Contingency tables |
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