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Super-Consistent Tests of Lp-Functional Form

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Author Info
Jonathan Hill () (Department of Economics, Florida International University)

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Abstract

This paper develops a consistent test of best Lp-predictor functional form for a time series process. By functionally relating two moment conditions with different nuisance parameters we are able to construct a vector moment condition in which at least one element must be non-zero under the alternative. Specifically, we provide a sufficient condition for moment conditions of the type characterized by Stinchcombe and White (1998) to reveal model mis-specification for any nuisance parameter value. When the sufficient condition fails an alternative moment condition is guaranteed to work. A simulation study clearly demonstrates the superiority of a randomized test: randonly selecting the nuisance parameter leads to more power than average- and supremum-test functionals, and obtains empirical power nearly equivelant to uniformly most powerful tests in most cases.

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File URL: http://www.fiu.edu/orgs/economics/wp2006/06-10.pdf
File Format: application/pdf
File Function: First version, 2006
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Publisher Info
Paper provided by Florida International University, Department of Economics in its series Working Papers with number 0610.

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Length: 19 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:fiu:wpaper:0610

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Web page: http://www.fiu.edu/orgs/economics/
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Related research
Keywords: consistent test; conditional moment test; best Lp-predictor; nonlinear model.;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation and Testing

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References listed on IDEAS
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  1. Bierens, Herman J, 1990. "A Consistent Conditional Moment Test of Functional Form," Econometrica, Econometric Society, vol. 58(6), pages 1443-58, November. [Downloadable!] (restricted)
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  2. Bierens, H. & Ploberger, W., 1995. "Asymptotic theory of integrated conditional moment tests," Discussion Paper 124, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
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This page was last updated on 2009-11-3.


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