Application of line sampling simulation method to reliability benchmark problems

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

A new adaptive importance sampling scheme for reliability calculations

Siu‐Kui Au, James L. Beck · Structural Safety · 1999 · 557 citations

Computing, Computational Engineering, Probability Theory +13

A critical appraisal of reliability estimation procedures for high dimensions

G.I. Schuëller, H.J. Pradlwarter, Phaedon‐Stelios Koutsourelakis · Probabilistic Engineering Mechanics · 2004 · 468 citations

Education, Systems Engineering, Item Response Theory +12

Reliability of structures in high dimensions, part I: algorithms and applications

Phaedon‐Stelios Koutsourelakis, H.J. Pradlwarter, G.I. Schuëller · Probabilistic Engineering Mechanics · 2004 · 370 citations

Engineering, Civil Engineering, Finite Element Analysis +11

First excursion probabilities for linear systems by very efficient importance sampling

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 278 citations

Natural Sciences, Mathematics, Probability Theory +9