References#
J.-M. Bourinet, C. Mattrand, and V Dubourg. A review of recent features and improvements added to FERUM software. In Proc. of the 10th International Conference on Structural Safety and Reliability (ICOSSAR’09), Osaka, Japan, 2009.
J.-M. Bourinet. FERUM 4.1 User’s Guide, 2010.
J.-M. Bourinet. “FORM Sensitivities to Distribution Parameters with the Nataf Transformation”. In: P. Gardoni (ed.), Risk and Reliability Analysis: Theory and Applications, Springer Series in Reliability Engineering, pp. 277–302, 2017. DOI: 10.1007/978-3-319-52425-2_12.
Breitung, K. 1984 Asymptotic approximations for multinormal integrals. J. Eng. Mech. ASCE 110, 357–367.
Der Kiureghian, A. and Liu, P.-L. (1986). “Structural Reliability Under Incomplete Probability Information”. In: Journal of Engineering Mechanics Vol 112.No 1, pp. 85–104.
Hackl, J. (2013). Generic Framework for Stochastic Modeling of Reinforced Concrete Deterioration Caused by Corrosion. Master’s thesis, Norwegian University of Science and Technology, NTNU.
Melchers, R. E. (1999). Structural Reliability Analysis and Prediction. Second edition. Chichester, UK: John Wiley and Sons. isbn: 9780471987710.
Meinen, N. E. (2025). “Application of the Rosenblatt transformation in First-Order System Reliability approximations”. In: Structural Safety Vol 112, 102521. doi:10.1016/j.strusafe.2024.102521.
Hohenbichler, M. & Rackwitz, R. 1988 Improvement of second-order reliability estimates by importance sampling. J. Eng. Mech. ASCE 14, 2195–2199.
Hans Petter Langtangen. Python Scripting for Computational Science. Springer-Verlag, 2009.
Lutz. Learning Python. O’Reilly, 2007.
Malioka, Vasiliki (2009). Condition indicators for the assessment of local and spatial deterioration of concrete structures. Institut fur Baustatik und Konstruktion. Zurich: vdf Hochschulverlag. isbn: 9783728133229.
Nowak, Andrzej S. and Kevin R. Collins (2000). Reliability of Structures. first edition. McGraw-Hill civil engineering series. McGraw-Hill Higher Education. isbn: 9780070481633.
Ditlevsen, Ove and Henrik O. Madsen (2007). Structural Reliability Methods. Internet edition 2.3.7. published online. Chichester, UK: John Wiley and Sons.
Ditlevsen, O. (1979). “Narrow reliability bounds for structural systems”. Journal of Structural Mechanics, 7(4), 435-451. doi:10.1080/03601217908905328.
Baker, Jack (2010). CEE 204: Structrual Reliability. Lecture notes. Stanford University.
Lemaire, Maurice, Alaa Chateauneuf, and Jean-Claude Mitteau (2010). Structural Reliability. ISTE. New York: John Wiley and Sons. isbn: 9780470394335.
Schneider, Jorg (2007). Sicherheit und Zuverlässigkeit im Bauwesen, Grundwissen für Ingenieure. third edition. Institut fur Baustatik und Konstruktion. published online. Zürich: vdf Hochschulverlag.
Faber, Michael H. (2009). Risk and Safety in Engineering. SS 2009. Lecture Notes. Swiss Federal Institut of Technology Zurich.
Fischer, K., Barnardo-Viljoen, C., and Faber, M. H. (2012). Deriving target reliabilities from the LQI. LQI Symposium, Kgs. Lyngby, Denmark, August 21-23, 2012. Available via ResearchGate.
Joint Committee on Structural Safety (JCSS). (2008). Risk Assessment in Engineering: Principles, System Representation & Risk Criteria. Edited by M. H. Faber. ISBN 978-3-909386-78-9. PDF: JCSS.
Kroon, I. B. and Maes, M. A. (2008). Theoretical Framework for Risk Assessment and Evaluation. Background Documents on Risk Assessment in Engineering, Document #1. Joint Committee on Structural Safety. PDF: JCSS.
Nathwani, J. S., Lind, N. C., and Pandey, M. D. (1997). Affordable Safety by Choice: The Life Quality Method. Institute for Risk Research, University of Waterloo. PDF summary: University of Waterloo.
Nathwani, J. S., Pandey, M. D., and Lind, N. C. (2009). Engineering Decisions for Life Quality: How Safe is Safe Enough? Springer Series in Reliability Engineering. doi:10.1007/978-1-84882-602-1.
Pandey, M. D. and Nathwani, J. S. (2004). “Life quality index for the estimation of societal willingness-to-pay for safety”. Structural Safety, 26(2), 181-199. doi:10.1016/j.strusafe.2003.05.001.
Pandey, M. D., Nathwani, J. S., and Lind, N. C. (2006). “The derivation and calibration of the Life-Quality Index (LQI) from economic principles”. Structural Safety, 28(4), 341-360. doi:10.1016/j.strusafe.2005.10.001.
Pandey, M. D., Wang, Z., and Cheng, T. (2015). Stochastic Renewal Process Models for Life Cycle Cost and Utility Analysis. In Proceedings of the 12th International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP12), Vancouver, Canada. doi:10.14288/1.0076240.
Rackwitz, R. (2002). “Optimization and risk acceptability based on the Life Quality Index”. Structural Safety, 24(2-4), 297-331. doi:10.1016/S0167-4730(02)00029-2.
Rackwitz, R. (2008). The Philosophy Behind the Life Quality Index and Empirical Verification. Basic Documents on Risk Assessment in Engineering, Document #4. Joint Committee on Structural Safety. PDF: JCSS.
Schubert, M. and Faber, M. H. (2009). Examples on the Application of the LQI Criterion. JCSS Documents on Risk Assessment in Engineering, Joint Committee on Structural Safety, June 2009. PDF: JCSS.
Streicher, H. and Rackwitz, R. (2008). Optimization with a LQI Acceptance Criterion. Background Documents on Risk Assessment in Engineering, Document #5. Joint Committee on Structural Safety. PDF: JCSS.
Van Coile, R., Jomaas, G., and Bisby, L. (2019). “Defining ALARP for fire safety engineering design via the Life Quality Index”. Fire Safety Journal, 107, 1-14. doi:10.1016/j.firesaf.2019.04.015.
World Bank. World Development Indicators: GDP per capita, PPP (current international $), indicator NY.GDP.PCAP.PP.CD. World Bank DataBank.
Madsen, Henrik O., S. Krenk, and Niels C. Lind (2006). Methods of Structrual Safety. Mineola, NY: Dover Publications. isbn: 9780486445977.
Thoft-Christensen, Palle and Michael J. Baker (1982). Structural Reliability Theory and its Applications. Heidelberg: Springer Verlag. isbn: 9783540117315.
Sørensen. Notes in Structural Reliability Theory and Risk Analysis. Aalborg University, 2004.
Liu, Pei-Ling and Armen Der Kiureghian (1986). “Multivariate distribution models with prescribed marginals and covariances”. In: Probabilistic Engineering Mechanics Vol 1.No 2, pp. 105–112. issn: 0266-8920.
Rosenblatt, Murray (1952). “Remarks on a Multivariate Transformation”. In: The Annals of Mathematical Statistics Vol 23.No 3, pp. 470–472.
Au, S. K., & Beck, J. L. (2001). Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Engineering Mechanics, 16(4), 263–277.
Koutsourelakis, P. S., Pradlwarter, H. J., & Schuëller, G. I. (2004). Reliability of structures in high dimensions, Part I: algorithms and applications. Probabilistic Engineering Mechanics, 19(4), 409–417.
Schuëller, G. I., & Pradlwarter, H. J. (2007). Benchmark study on reliability estimation in higher dimensions of structural systems — An overview. Structural Safety, 29(3), 167–182.
Schueremans, L. & Van Gemert, D. (2005). “Benefit of splines and neural networks in simulation based structural reliability analysis”. Structural Safety, 27(3), 246-261. doi:10.1016/j.strusafe.2004.11.001.
Mainçon, P. (2000). “A first order reliability method for series systems”. Structural Safety, 22(1), 5-26. doi:10.1016/S0167-4730(99)00036-3.
Song, J. and Der Kiureghian, A. (2003). “Bounds on system reliability by linear programming”. Journal of Engineering Mechanics, 129(6), 627-636. doi:10.1061/(ASCE)0733-9399(2003)129:6(627).
Daniels, H. E. (1945). “The statistical theory of the strength of bundles of threads. I”. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 183(995), 405-435. doi:10.1098/rspa.1945.0011.