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Simple Effective Conservative Treatment of Uncertainty From Sparse Samples of Random Variables and Functions
7 references·2 citing·36 second hop
Simple Effective Conservative Treatment of Uncertainty From Sparse Samples of Random Variables and Functions (2018)Simple Effective Conservative Treatment o…On the quantification and efficient propagation of imprecise probabilities resulting from small datasets (2017)On the quantification and eff…A comparison of methods for representing sparsely sampled random quantities. (2013)A comparison of methods for r…A Comparison of Methods for Representing and Aggregating Uncertainties Involving Sparsely Sampled Random Variables - More Results (2013)A Comparison of Methods for R…Distribution type uncertainty due to sparse and imprecise data (2012)Distribution type uncertainty…Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data (2011)Likelihood-based representati…The use of kernel densities and confidence intervals to cope with insufficient data in validation experiments (2008)The use of kernel densities a…Being Conservative with a Limited Number of Test Results (2008)Being Conservative with a Lim…Propagating Stress-Strain Curve Variability in Multi-Material Problems: Temperature-Dependent Material Tests to Plasticity Models to Structural Failure Predictions (2020)Propagating Stress-Strain Cur…Discrete-Direct Model Calibration and Propagation Approach Addressing Sparse Replicate Tests and Material, Geometric, and Measurement Uncertainties (2018)Discrete-Direct Model Calibra…Structural Reliability Methods (1996)Probability, reliability and statistical methods in engineering design (1999)Probability, Reliability and Statistical Methods in Engineering Design (2001)The effect of prior probabilities on quantification and propagation of imprecise probabilities resulting from small datasets (2018)Reliability measure approach for confidence-based design optimization under insufficient input data (2019)A confidence-based reliability optimization with single loop strategy and second-order reliability method (2020)Safety and the Probability of Structural Failure (1956)A mode-based meta-model for the frequency response functions of uncertain structural systems (2009)Do we have enough data? Robust reliability via uncertainty quantification (2017)Robust optimization of constrained mechanical system with joint clearance and random parameters using multi-objective particle swarm optimization (2018)Statistics for Spatial Data. (1993)Geostatistics (1999)Geostatistics: Modeling Spatial Uncertainty (2000)Quantitative model validation techniques: New insights (2012)Separating the contributions of variability and parameter uncertainty in probability distributions (2012)Integration of model verification, validation, and calibration for uncertainty quantification in engineering systems (2015)Describing Uncertainty in Single Sample Experiments (1953)Experimentation and Uncertainty Analysis for Engineers (1991)Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Probabilistic Design Methodology for Composite Aircraft Structures. (1999)Comparing Effectiveness of Measures That Improve Aircraft Structural Safety (2007)Effects of Structural Tests on Aircraft Safety (2010)Reliability Based Design Optimization Modeling Future Redesign With Different Epistemic Uncertainty Treatments (2013)Fuzzy sets (1965)Alternative Ways of Assessing Model Fit (1992)Fuzzy sets (1996)Computing tight bounds of structural reliability under imprecise probabilistic information (2018)Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation (2019)Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities (2020)A hierarchical framework for statistical model calibration in engineering product development (2010)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)Sandia Verification and Validation Challenge Problem: A PCMM-Based Approach to Assessing Prediction Credibility (2015)Reduced allowable strength of composite laminate for unknown distribution due to limited tests (2020)Strength uncertainty analysis of composite turbine blade with small sample size (2021)
this work references cited by second hop

References

  • 2011Likelihood-based representation of epistemic uncertainty due to sparse point data and/or interval data156 cited
  • 2017On the quantification and efficient propagation of imprecise probabilities resulting from small datasets97 cited
  • 2012Distribution type uncertainty due to sparse and imprecise data65 cited
  • 2008The use of kernel densities and confidence intervals to cope with insufficient data in validation experiments41 cited
  • 2008Being Conservative with a Limited Number of Test Results22 cited
  • 2013A comparison of methods for representing sparsely sampled random quantities.14 cited
  • 2013A Comparison of Methods for Representing and Aggregating Uncertainties Involving Sparsely Sampled Random Variables - More Results10 cited

Cited by

  • 2018Discrete-Direct Model Calibration and Propagation Approach Addressing Sparse Replicate Tests and Material, Geometric, and Measurement Uncertainties8 cited
  • 2020Propagating Stress-Strain Curve Variability in Multi-Material Problems: Temperature-Dependent Material Tests to Plasticity Models to Structural Failure Predictions7 cited

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