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Testing Distributional Assumptions Using a Continuum of Moments

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Abstract

We propose specification tests for parametric distributions that compare theoretical and empirical characteristic functions. Our proposal is the continuum of moment conditions analogue to the usual overidentifying restrictions test, which takes into account the correlation between influence functions for different argument values. We derive its asymptotic distribution for fixed regularization parameter and when this vanishes with the sample size. We show its consistency against any deviation from the null, study its local power and compare it with existing tests. An extensive Monte Carlo exercise confirms that our proposed tests display good power in finite samples against a variety of alternatives.

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  • Dante Amengual & Marine Carrasco & Enrique Sentana, 2017. "Testing Distributional Assumptions Using a Continuum of Moments," Working Papers wp2017_1709, CEMFI.
  • Handle: RePEc:cmf:wpaper:wp2017_1709
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    Cited by:

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    5. Guay, Alain & Pelgrin, Florian, 2023. "Structural VAR models in the Frequency Domain," Journal of Econometrics, Elsevier, vol. 236(1).

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    More about this item

    Keywords

    Consistent tests; characteristic function; GMM; continuum of moment conditions; goodness-of-fit; Tikhonov regularization.;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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