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Bias Correction of KPSS Test with Structural Break for Reducing of Size Distortion

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  • Anton Skrobotov

    (Gaidar Institute for Economic Policy)

Abstract

In this paper we extend the stationarity test proposed by Kurozumi and Tanaka (2010) to reduce size distortion with one structural break in data generating process. We nd the bias up to the order of 1=T for four types of models containing structural breaks. Simulations on fininite samples show a decrease of size distortions relative to other tests, thus receiving higher power.

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File URL: http://www.iep.ru/files/RePEc/gai/wpaper/0043Skrobotov.pdf
File Function: Revised version, 2013
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Bibliographic Info

Paper provided by Gaidar Institute for Economic Policy in its series Working Papers with number 0043.

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Length: 26 pages
Date of creation: 2012
Date of revision: 2013
Handle: RePEc:gai:wpaper:0043

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Keywords: Stationarity tests; KPSS test; bias correction; size distortion; structural break.;

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  1. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  2. Fabio Busetti & Andrew C Harvey, 1998. "Testing for the Presence of a Random Walk in Series with Structural Breaks - (Now published in Journal of Time Series Analysis, 22 (2001), pp.127-150.)," STICERD - Econometrics Paper Series /1998/365, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  3. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
  4. Eiji Kurozumi & Shinya Tanaka, 2010. "Reducing the size distortion of the KPSS test," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(6), pages 415-426, November.
  5. David I. Harvey & Terence C. Mills, 2003. "A Note On Busetti-Harvey Tests For Stationarity In Series With Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 159-164, 03.
  6. Donggyu Sul & Peter C. B. Phillips & Chi-Young Choi, 2005. "Prewhitening Bias in HAC Estimation," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(4), pages 517-546, 08.
  7. Junsoo Lee & Mark Strazicich, 2001. "Testing the null of stationarity in the presence of a structural break," Applied Economics Letters, Taylor & Francis Journals, vol. 8(6), pages 377-382.
  8. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
  9. Fabio Busetti & Andrew Harvey, 2003. "Further Comments On Stationarity Tests In Series With Structural Breaks At Unknown Points," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 137-140, 03.
  10. Josep Lluís Carrion-i-Silvestre & Andreu Sansó, 2005. "The KPSS Test with Two Structural Breaks," DEA Working Papers 13, Universitat de les Illes Balears, Departament d'Economía Aplicada.
  11. Josep Carrion-i-Silvestre & Andreu Sansó, 2006. "A guide to the computation of stationarity tests," Empirical Economics, Springer, vol. 31(2), pages 433-448, June.
  12. Perron, Pierre & Zhu, Xiaokang, 2005. "Structural breaks with deterministic and stochastic trends," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 65-119.
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