Based on M-Copula Reliability Analysis of Random Load Correlation

Table 3

Estimated values of load distribution parameters for three groups.

Probabilistic characteristics		Load	Load	Load	Bearing capacity
Case 1	Distribution	Gaussian distribution	Gumbel I distribution	Gumbel Ι distribution	Lognormal distribution
	(kN/m^2)	5	7	10	70
	(kN/m^2)	0.350	3.227	4.710	9.100
		0.070	0.461	0.471	0.130
Case 2	Distributions	Gaussian distribution	Gumbel Ι distribution	Gumbel Ι distribution	Lognormal distribution
	(kN/m^2)	5	10	8	70
	(kN/m^2)	0.350	4.610	3.768	9.100
		0.070	0.461	0.471	0.130
Case 3	Distributions	Gaussian distribution	Gumbel Ι distribution	Gumbel Ι distribution	Lognormal distribution
	(kN/m^2)	5	7	10	70
	(kN/m^2)	0.350	3.374	4.630	9.100
		0.070	0.482	0.463	0.130

Note: is the load effect value, is the bearing capacity, and are mean and variance, respectively, and is coefficient of variation.