Copulas and Preserver Problems

08/27/2019

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by   Ahmed Sani, et al.

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Preserver problems concern the characterization of operators on general spaces that leave invariant some categories of subsets or ratios. The most known in the mathematical literature are those of linear preserver problems (LPP) which date back to the ninth century. Here, we treat the preserver problem in the recent and emerging field of copulas. Precisely, we prove that copula property is preserved uniquely under increasing transformations.