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Residual-Based Block Bootstrap for Unit Root Testing

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Author Info
Efstathios Paparoditis ()
Dimitris N. Politis
Abstract

A nonparametric, residual-based block bootstrap procedure is proposed in the context of testing for integrated (unit root) time series. The resampling procedure is based on weak assumptions on the dependence structure of the stationary process driving the random walk and successfully generates unit root integrated pseudo-series retaining the important characteristics of the data. It is more general than previous bootstrap approaches to the unit root problem in that it allows for a very wide class of weakly dependent processes and it is not based on any parametric assumption on the process generating the data. As a consequence the procedure can accurately capture the distribution of many unit root test statistics proposed in the literature. Large sample theory is developed and the asymptotic validity of the block bootstrap-based unit root testing is shown via a bootstrap functional limit theorem. Applications to some particular test statistics of the unit root hypothesis, i.e., least squares and Dickey-Fuller type statistics are given. The power properties of our procedure are investigated and compared to those of alternative bootstrap approaches to carry out the unit root test. Some simulations examine the finite sample performance of our procedure. Copyright Econometric Society, 2002.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 71 (2003)
Issue (Month): 3 (05)
Pages: 813-855
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Handle: RePEc:ecm:emetrp:v:71:y:2003:i:3:p:813-855

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  1. Ricardo Gonçalves Silva, 2004. "Bayesian Semiparametric Regression for Autoregressive Models with Possible Unit Roots," Econometrics 0405002, EconWPA. [Downloadable!]
  2. Lokshin Boris, 2006. "Monte-Carlo comparison of alternative estimators for dynamic panel data models," Research Memoranda 014, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
  3. Stefano Fachin, 2005. "Long-Run Trends in Internal Migrations in Italy: a Study in Panel Cointegration with Dependent Units," Econometrics 0507002, EconWPA. [Downloadable!]
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  4. James G. MacKinnon, 2007. "Bootstrap Hypothesis Testing," Working Papers 1127, Queen's University, Department of Economics. [Downloadable!]
  5. Wagner Piazza Gaglianone & Raquel M. B. Sampaio & Luiz Renato Regis de Oliveira Lima, 2006. "Debt ceiling and fiscal sustainability in Brazil: a quantile autoregression approach," Economics Working Papers (Ensaios Economicos da EPGE) 631, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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  6. Raquel Menezes Bezerra Sampaio & Luiz Renato Regis de Oliveira Lima, 2005. "The Asymmetric Behavior of the U.S. Public Debt," Economics Working Papers (Ensaios Economicos da EPGE) 593, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
  7. Carsten Trenkler, 2006. "Bootstrapping Systems Cointegration Tests with a Prior Adjustment for Deterministic Terms," SFB 649 Discussion Papers SFB649DP2006-012, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
  8. Myunghwan Seo, 2005. "Unit Root Test in a Threshold Autoregression: Asymptotic Theory and Residual-based Block Bootstrap," STICERD - Econometrics Paper Series /2005/484, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE. [Downloadable!]
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  9. Wagner, Martin, 2006. "The Carbon Kuznets Curve. A Cloudy Picture Emitted by Bad Econometrics?," Economics Series 197, Institute for Advanced Studies. [Downloadable!]
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