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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

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Author Info

  • 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.

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Bibliographic Info

Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Advances in Complex Systems.

Volume (Year): 12 (2009)
Issue (Month): 02 ()
Pages: 157-167

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Handle: RePEc:wsi:acsxxx:v:12:y:2009:i:02:p:157-167

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Related research

Keywords: Goodness-of-fit tests; critical values; Anderson–Darling statistic; Kolmogorov–Smirnov statistic; Kuiper statistic; Cramér–Von Mises statistic; empirical distribution function; Monte-Carlo simulations; 02.50.Ng; 02.70.Uu; 05.10.Ln;

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Cited by:
  1. 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.

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