BibTeX
@INCOLLECTION{
Jerrell1996ADa,
author = "Max E. Jerrell",
editor = "Martin Berz and Christian Bischof and George Corliss and Andreas Griewank",
title = "Automatic Differentiation and Interval Arithmetic for Estimation of Econometric
Functions",
booktitle = "Computational Differentiation: Techniques, Applications, and Tools",
pages = "265--272",
publisher = "SIAM",
address = "Philadelphia, PA",
key = "Jerrell1996ADa",
crossref = "Berz1996CDT",
abstract = "Relatively simple economic models often lead to complex estimation problems. Even
when the model itself is linear, the estimation problem can be nonlinear, with an unknown number of
stationary points. Disequilibrium models have proved to be particularly difficult to estimate. Newer
global optimization techniques, such as simulated annealing and genetic algorithms, have not been
particularly successful in solving such models. More traditional methods can fail completely unless
good starting points are used. The gradient vectors and Hessian matrices of nonlinear econometric
functions tend to be complex and lead to well known user and computational approximation errors.
Automatic differentiation can eliminate user error. Combined with interval arithmetic, it offers a
particularly useful method of global optimization.",
keywords = "interval computations, global optimization, econometrics, disequilibrium models",
year = "1996"
}
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