Nested Copula Model for Overall Seismic Vulnerability Analysis of Multispan Bridges

Table 5

Parameter estimation and goodness-of-fit test of copula functions.

	Copula	C0	C1	C2	C3	C4	Ck
ϴ	Clayton	1.383	6.783	-	-	1.353	2.448
	Gumbel	2.728	7.849	14.742	10.727	2.641	3.662
	Frank	8.180	33.253	74.191	46.082	7.283	12.438
	Joe	3.921	10.937	20.023	15.286	3.880	5.099
P	Clayton	0.005	0.005	-	-	0.005	0.005
	Gumbel	0.045	0.223	0.064	0.262	0.005	0.05
	Frank	0.005	0.213	0.515	0.045	0.005	0.005
	Joe	0.292	0.005	0.002	0.005	0.104	0.005

The functions corresponding to the bold values in Table 5 are the optimal functions we have chosen and used in the paper.