Transformation and weighting in regression
Transformation and weighting in regression
Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts
Electromagnetic material interrogation using conductive interfaces and acoustic wavefronts
Estimation Techniques for Distributed Parameter Systems
Estimation Techniques for Distributed Parameter Systems
Computational Methods for Inverse Problems
Computational Methods for Inverse Problems
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We computationally investigate two approaches for uncertainty quantification in inverse problems for nonlinear parameter dependent dynamical systems. We compare the bootstrapping and asymptotic theory approaches for problems involving data with several noise forms and levels. We consider both constant variance absolute error data and relative error, which produce non-constant variance data in our parameter estimation formulations. We compare and contrast parameter estimates, standard errors, confidence intervals, and computational times for both bootstrapping and asymptotic theory methods.