Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Combined aleatory and epistemic uncertainty represented as a family of distributions and as an unconditional density

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: For ϵ=2, the model reliability for the closely matching distributions Yd and Ym (r=0.86) is lower than for the deterministic observation with no measurement noise and the same distribution of Ym (r=0.95) because the probability of large bias between the uncertain deterministic prediction and observation is greater when there is more uncertainty

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Idealized diagram of the tanks [28]

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Diagram of workflow and data usage for the proposed solution strategy

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Results of model parameter calibration

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Sample computations of model reliability in the presence of combined aleatory and epistemic uncertainty. For this particular tank prediction, r=0 for X=0 and ψ=30 (left) and r=0.98 for X=0 and ψ=90 (right).

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Spatial variation of model reliability averaged across four tank predictions

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Expansion of parameter uncertainty to account for model form error and insufficient variability information

Date of download: 1/3/2018 Copyright © ASME. All rights reserved. From: Bayesian Uncertainty Integration for Model Calibration, Validation, and Prediction J. Verif. Valid. Uncert. 2016;1(1):011006-011006-10. doi:10.1115/1.4032371 Figure Legend: Reliability assessment based on the distributions of maximum predicted stress and material yield stress