“…The probability of the failure event defined in Eqn (17.22) can be evaluated using state-of-the-art simulation-based techniques such as MCMC methods (Gamerman, 1997;Guan et al, 2011Guan et al, , 2012 and transitional MCMC methods (Ching & Chen, 2007) as well as semi-analytical approaches (Gobbato, 2011;Gobbato et al, 2013aGobbato et al, , 2013b; both types of methods can in fact be embedded into the proposed SHM-DP framework. The probability of the failure event defined in Eqn (17.22) can be evaluated using state-of-the-art simulation-based techniques such as MCMC methods (Gamerman, 1997;Guan et al, 2011Guan et al, , 2012 and transitional MCMC methods (Ching & Chen, 2007) as well as semi-analytical approaches (Gobbato, 2011;Gobbato et al, 2013aGobbato et al, , 2013b; both types of methods can in fact be embedded into the proposed SHM-DP framework.…”