Consistent and coherent treatment of uncertainties and dependencies in fatigue crack growth calculations using multi-level Bayesian models

[1]  Peyman Amirafshari,et al.  Review of Available Probabilistic Models of the Crack Growth Parameters in Paris Equation , 2019 .

[2]  Guiyi Wu,et al.  Treatment of reliability in fracture assessments using BS 7910 Annex K , 2018, International Journal of Pressure Vessels and Piping.

[3]  Yan-Hui Zhang,et al.  Fatigue crack growth assessment using BS 7910:2013 - Background and recommended developments , 2018, International Journal of Pressure Vessels and Piping.

[4]  Isabel Hadley.  BS 7910:2013 in brief , 2018, International Journal of Pressure Vessels and Piping.

[5]  Yi Zhang,et al.  Modeling multivariate ocean data using asymmetric copulas , 2018 .

[6]  Michael Betancourt,et al.  The Convergence of Markov Chain Monte Carlo Methods: From the Metropolis Method to Hamiltonian Monte Carlo , 2017, 1706.01520.

[7]  A. Mehmanparast,et al.  Fatigue crack growth rates for offshore wind monopile weldments in air and seawater: SLIC inter-laboratory test results , 2017 .

[8]  Jiqiang Guo,et al.  Stan: A Probabilistic Programming Language. , 2017, Journal of statistical software.

[9]  Aki Vehtari,et al.  Practical Bayesian model evaluation using leave-one-out cross-validation and WAIC , 2015, Statistics and Computing.

[10]  Xavier Fernández-i-Marín,et al.  ggmcmc: Analysis of MCMC Samples and Bayesian Inference , 2016 .

[11]  Richard McElreath,et al.  Statistical Rethinking: A Bayesian Course with Examples in R and Stan , 2015 .

[12]  Yi Zhang,et al.  Long-term performance assessment and design of offshore structures , 2015 .

[13]  Foresight review of structural integrity and systems performance , 2015 .

[14]  John Dalsgaard Sørensen,et al.  Dependent systems reliability estimation by structural reliability approach , 2014 .

[15]  Aki Vehtari,et al.  Understanding predictive information criteria for Bayesian models , 2013, Statistics and Computing.

[16]  Andrew Gelman,et al.  The No-U-turn sampler: adaptively setting path lengths in Hamiltonian Monte Carlo , 2011, J. Mach. Learn. Res..

[17]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[18]  M. Betancourt,et al.  Hamiltonian Monte Carlo for Hierarchical Models , 2013, 1312.0906.

[19]  Sumio Watanabe,et al.  Asymptotic Equivalence of Bayes Cross Validation and Widely Applicable Information Criterion in Singular Learning Theory , 2010, J. Mach. Learn. Res..

[20]  Eric J. Johnson,et al.  Decisions Under Uncertainty: Psychological, Economic, and Neuroeconomic Explanations of Risk Preference , 2009 .

[21]  L. Rüschendorf.  On the distributional transform, Sklar's theorem, and the empirical copula process , 2009 .

[22]  Yongming Liu,et al.  Probabilistic fatigue life prediction using an equivalent initial flaw size distribution , 2009 .

[23]  A. Kiureghian,et al.  Aleatory or epistemic? Does it matter? , 2009 .

[24]  Isabel Hadley.  BS 7910: History and Future Developments , 2009 .

[25]  A. Stacey,et al.  Structural Integrity Management Framework for Fixed Jacket Structures , 2008 .

[26]  Michael Smith.  Fitness for Service, API 579-1/ASME FFS-1 , 2007 .

[27]  Marios K. Chryssanthopoulos,et al.  Fatigue reliability of welded steel structures , 2006 .

[28]  Andrew Gelman,et al.  Multilevel (Hierarchical) Modeling: What It Can and Cannot Do , 2006, Technometrics.

[29]  Andrew Gelman,et al.  Data Analysis Using Regression and Multilevel/Hierarchical Models , 2006 .

[30]  Henrik O. Madsen,et al.  Structural Reliability Methods , 1996 .

[31]  David B. Dunson,et al.  Bayesian Data Analysis , 2010 .

[32]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[33]  G. G. Garrett,et al.  On the correlation between the C and m in the paris equation for fatigue crack propagation , 1988 .

[34]  K. Tanaka,et al.  A tentative explanation for two parameters, C and m, in Paris equation of fatigue crack growth , 1977 .

[35]  H. Akaike,et al.  Information Theory and an Extension of the Maximum Likelihood Principle , 1973 .

[36]  Lawrence L. Kupper,et al.  Probability, statistics, and decision for civil engineers , 1970 .

[37]  P. C. Paris,et al.  A Critical Analysis of Crack Propagation Laws , 1963 .

[38]  Howard Raiffa,et al.  Applied Statistical Decision Theory. , 1961 .

[39]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[40]  Claude E. Shannon,et al.  The mathematical theory of communication , 1950 .