Multivariate Joint Probability Function of Earthquake Ground Motion Prediction Equations Based on Vine Copula Approach

Table 1

Five-dimensional normal copula and t copula.

Normal	Par.	Kendall’s	t copula	Par.	Kendall’s
	0.8755	0.6789		0.8819	0.6785
	(0.0040)			(0.0050)
	0.3624	0.2361		0.3705	0.2416
	(0.0200)			(0.0210)
	0.1639	0.1048		0.1623	0.1038
	(0.0230)			(0.0240)
	0.0282	0.0180		0.0207	0.0132
	(0.0240)			(0.0250)
	0.4516	0.2983		0.4500	0.2972
	(0.018)			(0.0190)
	0.2560	0.1648		0.2464	0.1585
	(0.0220)			(0.0230)
	0.1077	0.0687		0.0919	0.0586
	(0.0240)			(0.0250)
	0.7813	0.5709		0.7754	0.5649
	(0.0080)			(0.0080)
	0.5905	0.4021		0.5776	0.3920
	(0.0140)			(0.0150)
	0.8111	0.6023		0.8069	0.5977
	(0.0070)			(0.0070)
				20.6782
				(3.6160)

The subscripts 1, 2, 3, 4, and 5 denote PSAs at 0.1, 0.2, 1, 2, and 4 sec, respectively. Statistical significance at the 1% level.