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Abstract Details

Activity Number: 330
Type: Topic Contributed
Date/Time: Tuesday, July 31, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304627
Title: Inverse Function-Based Methodology for Inverse Sensitivity Analysis
Author(s): Jessi Cisewski*+ and Jan Hannig and Don Estep and Troy Butler
Companies: The University of North Carolina at Chapel Hill and The University of North Carolina at Chapel Hill and Colorado State University and The University of Texas at Austin
Address: 269 Sweet Bay Place, Carrboro, NC, 27510, United States
Keywords: sensitivity analysis ; inverse problem ; generalized fiducial inference ; differential equations ; uncertainty quantification
Abstract:

There is a growing need of statistical methodology for problems addressing inverse sensitivity analysis in which there are one or multiple quantities of interest connected to the input space through a system of partial differential equations. Though Bayesian methodology has become quite popular in this setting, we explore potential non-Bayesian solutions using some newer ideas related to inverse function-based inference. The goal in the proposed setting is to understand the distribution on parameter space without use of a prior distribution.


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