An inverse problem statistical methodology summary


Book Section

We discuss statistical and computational aspects of inverse or parameter estimation problems for deterministic dynamical systems 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 illustrated throughout with the popular logistic growth model of Verhulst and Pearl as well as with a recently developed population level model of pneumococcal disease spread. © 2009 Springer Netherlands.

Full Text

Duke Authors

Cited Authors

  • Banks, HT; Davidian, M; Samuels, JR; Sutton, KL

Published Date

  • December 1, 2009

Book Title

  • Mathematical and Statistical Estimation Approaches in Epidemiology

Start / End Page

  • 249 - 302

International Standard Book Number 13 (ISBN-13)

  • 9789048123124

Digital Object Identifier (DOI)

  • 10.1007/978-90-481-2313-1_11

Citation Source

  • Scopus