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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
Lucia Alessi
Matteo Barigozzi
Giorgio Fagiolo

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Abstract

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 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 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.

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Publisher Info
Paper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2007/23.

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Date of creation: 06 Nov 2007
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Handle: RePEc:ssa:lemwps:2007/23

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Related research
Keywords: Goodness of fit tests Critical values Anderson-Darling statistic Kolmogorov-Smirnov statistic Kuiper Statistic Cramer-Von Mises statistic Empirical Distribution function Monte-Carlo Simulations

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This page was last updated on 2008-7-22.


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