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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Paper provided by Florida International University, Department of Economics in its series Working Papers with number
0610.
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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