One characterization of symmetry

N.G. Ushakov

Statistics & Probability Letters, 2011, vol. 81, issue 5, 614-617

Abstract: In this note we present one characterization of symmetry of probability distributions in Euclidean spaces which is formulated as follows. Let X and Y be independent and identically distributed random elements in a separable Euclidean space E. If EehX 0, then the distribution of X is symmetric if and only if E(X-Y,t)p=E(X+Y,t)p for some 0

Keywords: Symmetric; distribution; Multivariate; symmetry (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (2)

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