First-order reliability method to problems involving multimodal distributions

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.4K citations

Business, Biostatistics, Probability Theory +15

Structural reliability under combined random load sequences

R. Rackwitz, Bernd Flessler · Computers & Structures · 1978 · 2.2K citations

Engineering, Civil Engineering, Structural Analysis +12

AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation

Benjamin Echard, Nicolas Gayton, Maurice Lemaire · Structural Safety · 2011 · 1.9K citations

Computing, Computational Engineering, Machine Learning +13

Multivariate distribution models with prescribed marginals and covariances

Pei-Ling Liu, Armen Der Kiureghian · Probabilistic Engineering Mechanics · 1986 · 963 citations

Natural Sciences, Biostatistics, Probability Theory +7

Optimization algorithms for structural reliability

Pei-Ling Liu, Armen Der Kiureghian · Structural Safety · 1991 · 636 citations

Engineering, Civil Engineering, Optimization +13