1. 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): doi: /
Figure Legend:
Combined aleatory and epistemic uncertainty represented as a family of distributions and as an unconditional density

2. 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): doi: /
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

3. 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): doi: /
Figure Legend:
Idealized diagram of the tanks [28]

4. 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): doi: /
Figure Legend:
Diagram of workflow and data usage for the proposed solution strategy

5. 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): doi: /
Figure Legend:
Results of model parameter calibration

6. 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): doi: /
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).

7. 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): doi: /
Figure Legend:
Spatial variation of model reliability averaged across four tank predictions

8. 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): doi: /
Figure Legend:
Expansion of parameter uncertainty to account for model form error and insufficient variability information

9. 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): doi: /
Figure Legend:
Reliability assessment based on the distributions of maximum predicted stress and material yield stress