Managing Information Uncertainty in Wave Height Modeling for the Offshore Structural Analysis through Random Set

Table 4

Failure probability obtained from selected models.

Fitted models		Minimum	Maximum	-S test value
Lower bound	Upper bound	1% quantile in lower bound	99% quantile in upper bound	Lower bound	Upper bound
Gamma	Gamma	1.124 × 10^−11	3.840 × 10^−8	0.8133	0.4391
Lognormal	Lognormal	1.112 × 10^−11	4.351 × 10^−8	0.5627	0.2841
Weibull	Weibull	1.070 × 10^−11	3.666 × 10^−8	0.9828	0.3545

K-S test is conducted between the Monte Carlo simulated results (sample size = 100000) and the interval analysis results. The hypothesis is that they are from different continuous distributions. Significance level is at 5%.