Geodesic
On the Comparison of Distribution Functions of Random Variables
Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 17-25.

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We prove a rather general comparison principle for the distribution functions of random variables. As a consequence, we obtain a criterion for the equivalence, in distribution in the vector sense, of an arbitrary sequence of random variables to the Rademacher system; we study the applications of this principle to special cases.
Keywords: distribution function of a random variable, comparison principle, Rademacher system, Banach space, Chebyshev inequality, Peetre $\mathscr K$-functional, Banach couple. 
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S. V. Astashkin. On the Comparison of Distribution Functions of Random Variables. Matematičeskie zametki, Tome 87 (2010) no. 1, pp. 17-25. http://geodesic.mathdoc.fr/item/MZM_2010_87_1_a2/

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