Investigates stochastic nontransitivity in three random variables, demonstrating copula behaviors and implications.
As part of the author’s series of works, the phenomenon of stochastic nontransitivity for tuples of three random variables with a joint polynomial density of a special type on the unit cube is studied. It is shown when this density defines a copula and when there is nontransitivity. Maximization of the measure of nontransitivity is carried out.
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A. V. Lebedev (2026) studied this question.
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