| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1154969 | Statistics & Probability Letters | 2011 | 4 Pages |
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 Eeh|X|<â, h>0, then the distribution of X is symmetric if and only if E|(XâY,t)|p=E|(X+Y,t)|p for some 0
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
N.G. Ushakov,