... b = (b3 − a3 )∆a2 ∆bn C(u, v, w) a1 = (b3 − a3 )[min(b2 , b1 ) − min(b2 , a1 ) − min(a2 , b1 ) + min(a2 , a1 )] = (b3 − a3 )(b1 + a1 − min(b2 , a1 ) − min(a2 , b1 )) = (b3 − a3 ){[b1 − min(a2 ... y instead: h(F −1 (u), G−1 (v)) = f (F −1 (u)).g(G−1 (v)).c(u, v) (1 .13) h(x, y) = f (x).g(y).c(F (x), G(y)) Equation (1 .13) is the density version of Sklar's (1 959) theorem: the joint density, ... quasi-inverses F ( 1) (u) = − ln(1 − u) and G(−1) (v) = − ln(1 − v) for all u, v in I Hence, the corresponding copula is Cθ (u, v) = u + v − + (1 − u )(1 − v)e(−θ ln(1−u) ln(1−v)) 1.1.3 The copula...