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Structural failures caused by a strong earthquake may induce a large number of casualties and huge socioeconomic losses. To design a structure that can withstand such earthquake events, it is essential to accurately estimate the nonlinear structural responses caused by strong ground motions. As a replacement of an onerous and complex nonlinear time history analysis, simple regression-based equations have been widely adopted in routine engineering practices. It is, however, noted that the response prediction is deterministic, which cannot quantify the variabilities stemming from the nonlinear behavior of the structural system, i.e. varying seismic demands given the same earthquake intensity value. In addition, it is well known that the accuracy of prediction based on the regression-based equations is limited. In order to quantify such uncertainties and improve the prediction accuracy, this paper proposes a …