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Part V - Optimal Convex Divergence

Published online by Cambridge University Press:  05 June 2012

George G. Judge
Affiliation:
University of California, Berkeley
Ron C. Mittelhammer
Affiliation:
Washington State University
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Summary

Optimal Convex Divergence

In the previous four chapters, we have introduced a flexible family of probability distributions, likelihood functions, estimators, and inference procedures based on information theoretic concepts. The usual case in econometrics is that the noisy indirect data are observed and known and the correct model underlying the genesis of that data is not. In this part of the book, to further address the unknown nature of the model, we propose taking a convex combination of two or more members of the estimators derived from members of the Cressie-Read family of divergence measures and optimize that combination relative to quadratic loss.

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Publisher: Cambridge University Press
Print publication year: 2011

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