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Nuisance parameter free properties of correlation integral based statistics

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Author Info
Pedro de Lima
Abstract

This paper presents conditions under which statistics based on the correlation integral are invariant to the use of estimated residuals from dynamic models. The methods are applied to the so-called BDS test for nonlinearity, under a variety of data-generating processes.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/07474939608800354&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 15 (1996)
Issue (Month): 3 ()
Pages: 237-259
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Handle: RePEc:taf:emetrv:v:15:y:1996:i:3:p:237-259

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Related research
Keywords: BDS Test; Correlation Integral; Residuals; U-Statistics;

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  1. Caporale, Guglielmo Maria & Ntantamis, Christos & Pantelidis, Theologos & Pittis, Nikitas, 2004. "The BDS Test as a Test for the Adequacy of a GARCH(1,1) Specification. A Monte Carlo Study," Economics Series 156, Institute for Advanced Studies. [Downloadable!]
    Other versions:
  2. Bekiros, S. & Georgoutsos, D., 2006. "Direction-of-Change Forecasting using a Volatility- Based Recurrent Neural Network," CeNDEF Working Papers 06-16, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
    Other versions:
  3. FERNANDES, Marcelo & GRAMMIG, Joachim, 2001. "A family of autoregressive conditional duration models," CORE Discussion Papers 2001036, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
    Other versions:
  4. Jonathan B. Hill, 2004. "Gaussian Tests of "Extremal White Noise" for Dependent, Heterogeneous, Heavy Tailed Time Series with an Application," Econometrics 0411014, EconWPA, revised 09 Dec 2004. [Downloadable!]
  5. Isao Ishida & Toshiaki Watanabe, 2009. "Modeling and Forecasting the Volatility of the Nikkei 225 Realized Volatility Using the ARFIMA-GARCH Model," CIRJE F-Series CIRJE-F-608, CIRJE, Faculty of Economics, University of Tokyo. [Downloadable!]
  6. Jonathan B. Hill, 2005. "Gaussian Tests of "Extremal White Noise" for Dependent, Heterogeneous, Heavy Tailed Strochastic Processes with an Application," Working Papers 0513, Florida International University, Department of Economics. [Downloadable!]
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