Geodesic
On the characterization of distributions of symmetric dependent random variables
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 81-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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Characterizations of scale mixtures of normal, stable and some other laws are obtained in the case of symmetrically dependent random variables. Symmetrically dependent random variables are studied for a special case of scale dependence. Conditions of unique (and nonunique) representation of a sequence of random variables as that of symmetrically dependent are given. Some variants of Linnik and Polya Theorems are given. 
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I. V. Volchenkova; L. B. Klebanov. On the characterization of distributions of symmetric dependent random variables. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 26, Tome 466 (2017), pp. 81-95. http://geodesic.mathdoc.fr/item/ZNSL_2017_466_a5/

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