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Benchmark Priors Revisited : On Adaptive Shrinkage and the Supermodel Effect in Bayesian Model Averaging / Martin Feldkircher, Stefan Zeugner.

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Format:
Book
Government document
Author/Creator:
Feldkircher, Martin.
Contributor:
Zeugner, Stefan.
International Monetary Fund. Finance Department.
Series:
IMF Working Papers; Working Paper ; No. 2009/202
IMF Working Papers
Language:
English
Subjects (All):
Bayesian statistical decision theory.
Economic development--Mathematical models.
Economic development.
Physical Description:
39 p. : col. ill.
Edition:
1st ed.
Place of Publication:
Washington, D.C. : International Monetary Fund, 2009.
Language Note:
English
Summary:
Default prior choices fixing Zellner's g are predominant in the Bayesian Model Averaging literature, but tend to concentrate posterior mass on a tiny set of models. The paper demonstrates this supermodel effect and proposes to address it by a hyper-g prior, whose data-dependent shrinkage adapts posterior model distributions to data quality. Analytically, existing work on the hyper-g-prior is complemented by posterior expressions essential to fully Bayesian analysis and to sound numerical implementation. A simulation experiment illustrates the implications for posterior inference. Furthermore, an application to determinants of economic growth identifies several covariates whose robustness differs considerably from previous results.
Contents:
Cover Page
Title Page
Copyright Page
Contents
I Introduction
II Bayesian Model Averaging under Zellner's g Prior
II. 1 Popular Settings for Zellner's g
III The Hyper-g Prior: A Beta Prior on the Shrinkage Factor
IV A Simulation Study
V Growth Determinants Revisited
VI Concluding Remarks
A Technical Appendix
A. 1 Consistency of the Hyper-g Prior
A. 2 Relationship between Hyper-g Prior and EBL
A. 3 The Shrinkage Factor and Goodness-of-Fit
A. 4 The Posterior Predictive Distribution and the Hyper-g Prior
A. 5 The Beta-binomial Prior over the Model Space
A. 6 Charts and Tables
References
Footnotes.
Notes:
"September 2009."
Includes bibliographical references.
Description based on print version record.
ISBN:
9786612844096
9781462344666
1462344666
9781451873498
1451873492
9781452769233
1452769230
9781282844094
1282844091
OCLC:
648819742

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