We characterize the transformation, defined for every copula C , by C h ( x , y ) : = h [−1] ( C ( h ( x ), h ( y ))), where x and y belong to [0, 1] and h is a strictly increasing and continuous function on [0, 1]. We study this transformation also in the class of quasi‐copulas and semicopulas.
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Durante et al. (2005) studied this question.
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