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An Alternative Asymptotic Analysis of Residual-Based Statistics

Elena Andreou and Bas J.M. Werker

University of Cyprus Working Papers in Economics from University of Cyprus Department of Economics

Abstract: This paper presents an alternative method to derive the limiting distribution of residual-based statistics. Our method does not impose an explicit assumption of (asymptotic) smoothness of the statistic of interest with respect to the model's parameters. and, thus, is especially useful in cases where such smoothness is difficult to establish. Instead, we use a locally uniform convergence in distribution condition, which is automatically satisfied by residual-based specification test statistics. To illustrate, we derive the limiting distribution of a new functional form specification test for discrete choice models, as well as a runs-based tests for conditional symmetry in dynamic volatility models.

Keywords: Le Cam's third lemma; Local Asymptotic Normality (LAN) (search for similar items in EconPapers)
Pages: 56 pages
Date: 2010-11
New Economics Papers: this item is included in nep-ecm
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https://papers.econ.ucy.ac.cy/RePEc/papers/8-10.pdf (application/pdf)

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Journal Article: An Alternative Asymptotic Analysis of Residual-Based Statistics (2012) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:ucy:cypeua:08-2010

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