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On Approximating The Distributions Of Goodness-Of-Fit Test Statistics Based On The Empirical Distribution Function: The Case Of Unknown Parameters

Author

Listed:
  • MARCO CAPASSO

    (Tjalling C. Koopmans Research Institute, and Urban and Regional Research Centre Utrecht, Utrecht, The Netherlands)

  • LUCIA ALESSI

    (European Central Bank, Frankfurt, Germany;
    Laboratory of Economics and Management, Sant'Anna School of Advanced Studies, Pisa, Italy)

  • MATTEO BARIGOZZI

    (Max Planck Institute of Economics, Jena, Germany;
    Laboratory of Economics and Management, Sant'Anna School of Advanced Studies, Pisa, Italy)

  • GIORGIO FAGIOLO

    (Laboratory of Economics and Management Sant'Anna School of Advanced Studies Pisa, Italy)

Abstract

This paper discusses some problems possibly arising when approximating via Monte-Carlo simulations the distributions of goodness-of-fit test statistics based on the empirical distribution function. We argue that failing to re-estimate unknown parameters on each simulated Monte-Carlo sample — and thus avoiding to employ this information to build the test statistic — may lead to wrong, overly-conservative. Furthermore, we present some simple examples suggesting that the impact of this possible mistake may turn out to be dramatic and does not vanish as the sample size increases.

Suggested Citation

  • Marco Capasso & Lucia Alessi & Matteo Barigozzi & Giorgio Fagiolo, 2009. "On Approximating The Distributions Of Goodness-Of-Fit Test Statistics Based On The Empirical Distribution Function: The Case Of Unknown Parameters," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 12(02), pages 157-167.
  • Handle: RePEc:wsi:acsxxx:v:12:y:2009:i:02:n:s0219525909002131
    DOI: 10.1142/S0219525909002131
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    Cited by:

    1. Matthias Duschl & Thomas Brenner, 2013. "Characteristics of regional industry-specific employment growth rates' distributions," Papers in Regional Science, Wiley Blackwell, vol. 92(2), pages 249-270, June.
    2. Dennis Frestad & Fred Espen Benth & Steen Koekebakker, 2010. "Modeling Term Structure Dynamics in the Nordic Electricity Swap Market," The Energy Journal, , vol. 31(2), pages 53-86, April.
    3. Giuricich, Mario Nicoló & Burnecki, Krzysztof, 2019. "Modelling of left-truncated heavy-tailed data with application to catastrophe bond pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 498-513.
    4. Giorgio Fagiolo & Lucia Alessi & Matteo Barigozzi & Marco Capasso, 2010. "On the distributional properties of household consumption expenditures: the case of Italy," Empirical Economics, Springer, vol. 38(3), pages 717-741, June.
    5. Lunardi, José T. & Miccichè, Salvatore & Lillo, Fabrizio & Mantegna, Rosario N. & Gallegati, Mauro, 2014. "Do firms share the same functional form of their growth rate distribution? A statistical test," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 140-164.
    6. Iván Blanco, Juan Ignacio Peña, and Rosa Rodriguez, 2018. "Modelling Electricity Swaps with Stochastic Forward Premium Models," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).

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