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Abstract A family of bivariate copulas given by: for v + 2 u 2 v+2u 2, C (u, v) = F (2 F − 1 (v ∕ 2) + F − 1 (u) ) C (u, v) =F (2F^-1 (v/2) +F^-1 (u) ), where F F is a strictly increasing cumulative distribution function of a symmetric, continuous random variable, and for v + 2 u ≥ 2 v+2u 2, C (u, v) = u + v − 1 C (u, v) =u+v-1, is introduced. The basic properties and necessary conditions for absolute continuity of C C are discussed. Several examples are provided.
Piotr Jaworski (Sun,) studied this question.
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