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The Functional Central Limit Theorem And Weak Convergence To Stochastic Integrals I

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Author Info
de Jong, Robert M.
Davidson, James

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Abstract

This paper gives new conditions for the functional central limit theorem, and weak convergence of stochastic integrals, for near-epoch-dependent functions of mixing processes. These results have fundamental applications in the theory of unit root testing and cointegrating regressions. The conditions given improve on existing results in the literature in terms of the amount of dependence and heterogeneity permitted, and in particular, these appear to be the first such theorems in which virtually the same assumptions are sufficient for both modes of convergence.

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File URL: http://journals.cambridge.org/abstract_S0266466600165016
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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 16 (2000)
Issue (Month): 05 (October)
Pages: 621-642
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Handle: RePEc:cup:etheor:v:16:y:2000:i:05:p:621-642_16

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  1. Morten Ørregaard Nielsen, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 1175, Queen's University, Department of Economics. [Downloadable!]
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  2. Jonathan Hill, 2006. "On Functional Central Limit Theorems for Dependent, Heterogeneous Tail Arrays with Applications to Tail Index and Tail Dependence Estimators," Working Papers 0607, Florida International University, Department of Economics. [Downloadable!]
  3. Kapetanios, G. & Pesaran, M.H. & Yamagata, T., 2006. "Panels with Nonstationary Multifactor Error Structures," Cambridge Working Papers in Economics 0651, Faculty of Economics, University of Cambridge. [Downloadable!]
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  4. Uwe Hassler & Francesc Marmol & Carlos Velasco, 2002. "Residual Log-Periodogram Inference for Long-Run Relationships," Darmstadt Discussion Papers in Economics 115, Institut für Volkswirtschaftslehre (Department of Economics), Technische Universität Darmstadt (Darmstadt University of Technology). [Downloadable!]
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  5. Masao Ogaki & Ling Hu & Chi-Young Choi, 2004. "A Spurious Regression Approach to Estimating Structural Parameters," Working Papers 04-01, Ohio State University, Department of Economics. [Downloadable!]
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  6. James Davidson & Nigar Hashimzade, 2007. "Representation and Weak Convergence of Stochastic Integrals with Fractional Integrator Processes," CREATES Research Papers 2007-45, School of Economics and Management, University of Aarhus. [Downloadable!]
  7. Morten Ørregaard Nielsen, 2008. "A Powerful Test of the Autoregressive Unit Root Hypothesis Based on a Tuning Parameter Free Statistic," Working Papers 1185, Queen's University, Department of Economics. [Downloadable!]
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  8. Todd E. Clark & Michael W. McCracken, 2008. "Combining forecasts from nested models," Working Papers 2008-037, Federal Reserve Bank of St. Louis. [Downloadable!]
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  9. Robert de Jong, 2004. "Nonlinear estimators with integrated regressors but without exogeneity," Econometric Society 2004 North American Winter Meetings 324, Econometric Society. [Downloadable!]
  10. Gengenbach,Christian & Palm,Franz C. & Urbain,Jean-Pierre, 2005. "Panel Cointegration Testing in the Presence of Common Factors," Research Memoranda 050, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  11. Donald W.K. Andrews & Patrik Guggenberger, 2007. "Hybrid and Size-Corrected Subsample Methods," Cowles Foundation Discussion Papers 1606, Cowles Foundation, Yale University. [Downloadable!]
  12. Jen-Je Su, 2003. "On the power of the multivariate KPSS test of stationarity against fractionally integrated alternatives," Applied Economics Letters, Taylor and Francis Journals, vol. 10(10), pages 637-641, August. [Downloadable!] (restricted)
  13. Chi-Young Choi & Ling Hu & Masao Ogaki, 2005. "Structural Spurious Regressions and A Hausman-type Cointegration Test," RCER Working Papers 517, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
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