Bootstrapping Autoregression under Non-stationary Volatility
AbstractThis paper studies robust inference in autoregression around a polynomial trend with stable autoregressive roots under non-stationary volatility. The formulation of the volatility process is quite general including many existing deterministic and stochastic non-stationary volatility specifications. The aim of the paper is two-fold. First, it develops a limit theory for least squares estimators and shows how non-stationary volatility affects the consistency, convergence rates and asymptotic distributions of the slope and trend coefficients estimators in different ways. This complements the results recently obtained by Chung and Park (2007, Journal of Econometrics 137, 230--59. Second, it studies the recursive wild bootstrap procedure of Gon�alves and Kilian (2004, Journal of Econometrics 123, 89--120) in the presence of non-stationary volatility, and shows its validity when the estimates are asymptotically mixed Gaussian. Simulations are performed to compare favourably the recursive wild bootstrap with other inference procedures under non-stationary volatility. Copyright Royal Economic Society 2008
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Bibliographic InfoArticle provided by Royal Economic Society in its journal Econometrics Journal.
Volume (Year): 11 (2008)
Issue (Month): 1 (03)
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- Xu, Ke-Li, 2012. "Robustifying multivariate trend tests to nonstationary volatility," Journal of Econometrics, Elsevier, vol. 169(2), pages 147-154.
- Giuseppe Cavaliere & Anders Rahbek & A.M.Robert Taylor, 2008.
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CREATES Research Papers
2008-50, School of Economics and Management, University of Aarhus.
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- Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2007. "Testing for co-integration in vector autoregressions with non-stationary volatility," Discussion Papers 07/02, University of Nottingham, Granger Centre for Time Series Econometrics.
- Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2008. "Testing for Co-integration in Vector Autoregressions with Non-Stationary Volatility," Discussion Papers 08-34, University of Copenhagen. Department of Economics.
- Jarrow, Robert & Teo, Melvyn & Tse, Yiu Kuen & Warachka, Mitch, 2012. "An improved test for statistical arbitrage," Journal of Financial Markets, Elsevier, vol. 15(1), pages 47-80.
- Giuseppe Cavaliere & Morten Ã˜rregaard Nielsen & A.M. Robert Taylor, 2013.
"Bootstrap Score Tests for Fractional Integration in Heteroskedastic ARFIMA Models, with an Application to Price Dynamics in Commodity Spot and Futures Markets,"
1309, Queen's University, Department of Economics.
- Giuseppe Cavaliere & Morten Ørregaard Nielsen & A.M. Robert Taylor, 2014. "Bootstrap Score Tests for Fractional Integration in Heteroskedastic ARFIMA Models, with an Application to Price Dynamics in Commodity Spot and Futures Markets," CREATES Research Papers 2014-22, School of Economics and Management, University of Aarhus.
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