title: Standard Error Computations for Uncertainty Quantification in Inverse Problems: Asymptotic Theory vs. Bootstrapping.
abstract: 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 produces 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.
authors.affiliation: Center for Research in Scientific Computation and Center for Quantitative Sciences in Biomedicine North Carolina State University Raleigh, NC 27695-8212.
authors.forename: H T
authors.initials: HT
authors.lastname: Banks
authors.forename: Kathleen
authors.initials: K
authors.lastname: Holm
authors.forename: Danielle
authors.initials: D
authors.lastname: Robbins