“…The cumulative distribution function (cdf) defined by the statistical distribution of the several IM C realizations represents the fragility curve of the selected limit state. This fragility curve has been, in many cases [Ibarra and Krawinkler, 2005;Jalayer et al, 2007;Zareian and Krawinkler, 2007;Bradley and Dhakal, 2008;Liel et al, 2009;Haselton et al, 2011;Liel et al, 2011] assumed to be well represented by a lognormal cdf which enables it to be written as: where (.) is the normal cdf, and ln η IM C and β IM C are the mean and the standard deviation, respectively, of the distribution.…”