• Media type: Report; E-Book
  • Title: On approximating the distributions of goodness-of-fit test statistics based on the empirical distribution function: The case of unknown parameters
  • Contributor: Capasso, Marco [Author]; Alessi, Lucia [Author]; Barigozzi, Matteo [Author]; Fagiolo, Giorgio [Author]
  • imprint: Pisa: Scuola Superiore Sant'Anna, Laboratory of Economics and Management (LEM), 2007
  • Language: English
  • Keywords: Monte-Carlo simulations ; C15 ; Empirical distribution function ; Cramér - Von Mises statistic ; C63 ; Goodness of fit tests ; Anderson - Darling statistic ; Critical values ; Kolmogorov - Smirnov statistic ; Kuiper statistic ; C12
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  • Description: This note 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 reestimate 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 testing. Furthermore, we present a simple example suggesting that the impact of this possible mistake may turn out to be dramatic and does not vanish as the sample size increases.
  • Access State: Open Access