An Inverse Problem Statistical Methodology Summary

@inproceedings{Banks2007AnIP,
title={An Inverse Problem Statistical Methodology Summary},
author={Harvey Thomas Banks and M. Davidian and Judith R. Samuels},
year={2007}
}

We discuss statistical and computational aspects of inverse or parameter estimation problems based on Ordinary Least Squares and Generalized Least Squares with appropriate corresponding data noise assumptions of constant variance and nonconstant variance (relative error), respectively. Among the topics included here are mathematical model, statistical model and data assumptions, and some techniques (residual plots, sensitivity analysis, model comparison tests) for verifying these. The ideas are… CONTINUE READING