AK-MSS: An adaptation of the AK-MCS method for small failure probabilities

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.3K citations

Reliability Engineering, Small Failure Probabilities, High Dimensions +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

Reliability, Reliability Engineering, Engineering +10

The intrinsic random functions and their applications

G. Matheron · Advances in Applied Probability · 1973 · 1.4K citations · Full text

Spectral Theory, Generalized Covariance, Engineering +12

A fast and efficient response surface approach for structural reliability problems

Christian Bucher, Ulrich Bourgund · Structural Safety · 1990 · 1.2K citations

Structural Integrity, Reliability Engineering, Engineering +12

Efficient Global Reliability Analysis for Nonlinear Implicit Performance Functions

Barron Bichon, Michael Eldred, Laura Swiler et al. · AIAA Journal · 2008 · 1.1K citations

Reliability, Implicit Response Functions, Reliability Engineering +15