4.7 Article

AIC under the framework of least squares estimation

Journal

APPLIED MATHEMATICS LETTERS
Volume 74, Issue -, Pages 33-45

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2017.05.005

Keywords

Inverse problems; Akiake information content; Least squares estimation; Biological applications

Funding

  1. National Institute on Alcohol Abuse and Alcoholism [1R01AA022714-01A1]
  2. Air Force Office of Scientific Research [AFOSR FA9550-15-1-0298]

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In this note we explain the use of the Akiake Information Criterion and its related model comparison indices (usually derived for maximum likelihood estimator inverse problem formulations) in the context of least squares (ordinary, weighted, iterative weighted or generalized, etc.) based inverse problem formulations. The ideas are illustrated with several examples of interest in biology. (C) 2017 Published by Elsevier Ltd.

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