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Unit Root Tests In The Presence Of Multiple Breaks In Variance

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  • SOO-BIN JEONG

    (School of Economics, Yonsei University, 134 Shinchon-dong, Seodaemun-gu, Seoul 120-749, South Korea†Korea Maritime Institute, 26 Haeyang-ro, 301 Beon-gil, Yeongdo-gu, Busan 606-080, South Korea)

  • BONG-HWAN KIM

    (#x2021;Department of Economics, University of California, San Diego, 9500 Gilman Dr. La jolla, CA 92093, USA)

  • TAE-HWAN KIM

    (School of Economics, Yonsei University, 134 Shinchon-dong, Seodaemun-gu, Seoul 120-749, South Korea)

  • HYUNG-HO MOON

    (#x2021;Department of Economics, University of California, San Diego, 9500 Gilman Dr. La jolla, CA 92093, USA)

Abstract

Spurious rejections of the standard Dickey–Fuller (DF) test caused by a single variance break have been reported and some solutions to correct the problem have been proposed in the literature. Kim et al. (2002) put forward a correctly-sized unit root test robust to a single variance break, called the KLN test. However, there can be more than one break in variance in time series data as documented in Zhou and Perron (2008), so allowing only one break can be too restrictive. In this paper, we show that multiple breaks in variance can generate spurious rejections not only by the standard DF test but also by the KLN test. We then propose a bootstrap-based unit root test that is correctly-sized in the presence of multiple breaks in variance. Simulation experiments demonstrate that the proposed test performs well regardless of the number of breaks and the location of the breaks in innovation variance.

Suggested Citation

  • Soo-Bin Jeong & Bong-Hwan Kim & Tae-Hwan Kim & Hyung-Ho Moon, 2017. "Unit Root Tests In The Presence Of Multiple Breaks In Variance," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 62(02), pages 345-361, June.
    • Handle: RePEc:wsi:serxxx:v:62:y:2017:i:02:n:s0217590815500496
    DOI: 10.1142/S0217590815500496
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    More about this item

    Keywords

    Dickey–Fuller test; variance break; wild bootstrap;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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