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Information and Entropy Econometrics -- A Review and Synthesis

Foundations and Trends® in
Econometrics

Volume 2 Issue 1–2
DOI: 10.1561/0800000004

Information and Entropy Econometrics -- A Review and Synthesis

Amos Golan
Department of Economics, American University, 4400 Massachusetts Avenue, NW Washington, DC 20016-8029, USA, agolan@american.edu

SUGGESTED CITATION:
Amos Golan (2008) "Information and Entropy Econometrics — A Review and Synthesis",
Foundations and Trends® in Econometrics: Vol. 2: No 1–2, pp 1-145.
http:/dx.doi.org/10.1561/0800000004

Abstract

The overall objectives of this review and synthesis are to study the basics of information-theoretic methods in econometrics, to examine the connecting theme among these methods, and to provide a more detailed summary and synthesis of the sub-class of methods that treat the observed sample moments as stochastic. Within the above objectives, this review focuses on studying the inter-connection between information theory, estimation, and inference. To achieve these objectives, it provides a detailed survey of information-theoretic concepts and quantities used within econometrics. It also illustrates the use of these concepts and quantities within the subfield of information and entropy econometrics while paying special attention to the interpretation of these quantities. The relationships between information-theoretic estimators and traditional estimators are discussed throughout the survey. This synthesis shows that in many cases information-theoretic concepts can be incorporated within the traditional likelihood approach and provide additional insights into the data processing and the resulting inference.

Keywords:

Empirical likelihood; entropy, generalized entropy; information; information theoretic estimation methods; likelihood; maximum entropy; stochastic moments.

JEL codes:
C13, C14, C49, C51
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