journal article·2023-09

Uncertainties quantification of fatigue load mixture model using hierarchical Bayesian models

Xiao-Wei Liu, Da-Gang Lu

Publisher page

Abstract

No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.

Source: Not provided · Quality: missing

Research context

OpenAlex topics: Probabilistic and Robust Engineering Design · Bayesian Methods and Mixture Models · Fatigue and fracture mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (36)

Show source-provided references
1. Parzen · 1999
2. A general multi-modal probability density function suitable for the rainflow ranges of stationary random processes10.1016/S0142-1123(97)00106-0 ↗
3. Modeling of stress spectrum using long-term monitoring data and finite mixture distributions10.1061/(ASCE)EM.1943-7889.0000313 ↗
4. Description of statistical dependencies of parameters of random load states (dependency of random load parameters)10.1016/S0142-1123(00)00014-1 ↗
5. A statistical model for lifespan prediction of large steel structures10.1016/j.engstruct.2018.08.065 ↗
6. Research on random load characteristic based on mixture distribution model10.1520/JTE20170131 ↗
7. Modelling of load spectra containing clusters of less probable load cycles10.1016/j.ijfatigue.2020.106006 ↗
8. Load spectrum modeling for tracked vehicles based on variational Bayesian inference10.1177/0954405414563557 ↗
9. Cumulative damage in fatigue10.1115/1.4009458 ↗
10. The exponential law of endurance tests
11. A hierarchical Bayesian mixture model for inferring the expression state of genes in transcriptomes10.1073/pnas.1919748117 ↗
12. Variational inference: A review for statisticians10.1080/01621459.2017.1285773 ↗
13. Improved modelling of the loading spectra using a mixture model approach10.1016/j.ijfatigue.2007.08.024 ↗
14. Hierarchical Dirichlet processes10.1198/016214506000000302 ↗
15. The infinite Gaussian mixture model
16. Dirichlet process
17. Berger · 1985
18. Ntzoufras · 2011
19. Robert · 2007
20. Hierarchical Bayesian fatigue data analysis10.1016/j.ijfatigue.2017.03.043 ↗
21. A Bayesian framework for calibration of multiaxial fatigue curves10.1016/j.ijfatigue.2022.107105 ↗
22. Cross · 2007
23. Maximum likelihood estimation from incomplete data via the EM algorithm10.1111/j.2517-6161.1977.tb01600.x ↗
24. A gentle tutorial of the EM algorithm and its application to parameter estimation for Gaussian mixture and hidden Markov models
25. On information and sufficiency10.1214/aoms/1177729694 ↗
26. Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images10.1109/TPAMI.1984.4767596 ↗
27. Dirichlet process Gaussian mixture models: Choice of the base distribution10.1007/s11390-010-9355-8 ↗
28. A constructive definition of Dirichlet priors
29. Poisson–Dirichlet and GEM invariant distributions for split-and-merge transformations of an interval partition10.1017/S0963548302005163 ↗
30. Bayesian semi-parametric ROC analysis10.1002/sim.2496 ↗
31. A semi-parametric Bayesian approach to average bioequivalence10.1002/sim.2620 ↗
32. Brodtkorb P, Johannesson P, Lindgren G, Rychlik I, Rydén J, Sjö E. WAFO - a Matlab Toolbox for the Analysis of Random Waves and Loads. In: Proc. 10’Th Int. offshore and Polar Eng. Conf., vol. 3. ISOPE, Seattle, USA, 2000, p. 343–50.
33. Dealing with label switching in mixture models10.1111/1467-9868.00265 ↗
34. Label switching in Bayesian mixture models: Deterministic relabeling strategies10.1080/10618600.2012.735624 ↗
35. Johannesson · 1999
36. Rainflow analysis in coastal engineering using switching second order Markov models10.1016/j.apm.2011.11.057 ↗