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FINITE-SAMPLE PROPERTIES OF PERCENTILE AND PERCENTILE-t BOOTSTRAP CONFIDENCE INTERVALS FOR IMPULSE RESPONSES

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Lutz Kilian

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Abstract

A Monte Carlo analysis of the coverage accuracy and average length of alternative bootstrap confidence intervals for impulse-response estimators shows that the accuracy of equal-tailed and symmetric percentile- t intervals can be poor and erratic in small samples (both in models with large roots and in models without roots near the unit circle). In contrast, some percentile bootstrap intervals may be both shorter and more accurate. The accuracy of percentile-t intervals improves with sample size, but the sample size required for reliable inference can be very large. Moreover, for such large sample sizes, virtually all bootstrap intervals tend to have excellent coverage accuracy. © 2000 by the President and Fellows of Harvard College and the Massachusetts Institute of Technolog

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Article provided by MIT Press in its journal The Review of Economics and Statistics.

Volume (Year): 81 (1999)
Issue (Month): 4 (November)
Pages: 652-660
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Handle: RePEc:tpr:restat:v:81:y:1999:i:4:p:652-660

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  2. Jonathan H. Wright, 2000. "Exact confidence intervals for impulse responses in a Gaussian vector autoregression," International Finance Discussion Papers 682, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. Michael D. Bordo & Christopher J. Erceg & Charles L. Evans, 2000. "Money, Sticky Wages, and the Great Depression," American Economic Review, American Economic Association, vol. 90(5), pages 1447-1463, December. [Downloadable!] (restricted)
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  4. Stanislav Anatolyev & Andrey Vasnev, 2002. "Markov chain approximation in bootstrapping autoregressions," Economics Bulletin, Economics Bulletin, vol. 3(19), pages 1-8. [Downloadable!]
  5. James H. Stock & Mark W. Watson, 2001. "Vector Autoregressions," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 101-115, Fall. [Downloadable!] (restricted)
  6. Eo, Yunjong & Morley, James C., 2008. "Likelihood-Based Confidence Sets for the Timing of Structural Breaks," MPRA Paper 10372, University Library of Munich, Germany. [Downloadable!]
  7. Yuriy Gorodnichenko, 2005. "Reduced-Rank Identification of Structural Shocks in VARs," Macroeconomics 0512011, EconWPA. [Downloadable!]
  8. Claude Lopez & Christian J. Murray & David H. Papell, 2003. "State of the Art Unit Root Tests and the PPP Puzzle," Macroeconomics 0310009, EconWPA. [Downloadable!]
  9. Fabio Canova & David López-Salido & Claudio Michelacci, 2006. "On the robust effects of technology shocks on hours worked and output," Economics Working Papers 1013, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 2008. [Downloadable!]
  10. Jonas Fisher, 2004. "Technology Shocks Matter," Econometric Society 2004 North American Winter Meetings 14, Econometric Society. [Downloadable!]
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  11. Dungey, Mardi & Fry, Renee, 2000. "A Multi-Country Structural VAR Model," Departmental Working Papers 2001-04, Australian National University, Economics RSPAS. [Downloadable!]
  12. Di Iorio, Francesca & Fachin, Stefano, 2008. "A note on the estimation of long-run relationships in dependent cointegrated panels," MPRA Paper 12053, University Library of Munich, Germany. [Downloadable!]
  13. Christian J. Murray & David H. Papell, 2000. "The Purchasing Power Parity Persistence Paradigm," Econometric Society World Congress 2000 Contributed Papers 0017, Econometric Society. [Downloadable!]
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