DOI QR코드

DOI QR Code

A Cointegration Test Based on Weighted Symmetric Estimator

  • Son Bu-Il (Department of Statistics, Hankuk University of Foreign Studies) ;
  • Shin Key-Il (Department of Statistics, Hankuk University of Foreign Studies)
  • Published : 2005.12.01

Abstract

Multivariate unit root tests for the VAR(p) model have been commonly used in time series analysis. Several unit root tests were developed and recently Shin(2004) suggested a cointegration test based on weighted symmetric estimator. In this paper, we suggest a multivariate unit root test statistic based on the weighted symmetric estimator. Using a small simulation study, we compare the powers of the new test statistic with the statistics suggested in Shin(2004) and Fuller(1996).

Keywords

References

  1. Fountis, N. G., and Dickey, D. A. (1989). Testing for a unit root nonstationary in multivariate autoregressive time series, The Annals of Statistics, 17, 419-248 https://doi.org/10.1214/aos/1176347025
  2. Fuller, W. A. (1996). Introduction to statistical time series, New York, Wiley
  3. Hamilton, J D. (1994). Time Series Analysis, Princeton University Press
  4. Pantula, S. G., Gonzales-Farias, G., and Fuller, W. A. (1994). A comparison of unit root criteria, Journal of Business and Economic Statistics, Vol. 13, 449-459
  5. Phillips, P. C. B., and Durlauf, S. N. (1986), Multiple time series regression with integrated process, Review of Economic Studies, Vol. 53, 473-495 https://doi.org/10.2307/2297602
  6. Shin, K-I. (2002), An alternative unit root test statistic based on least squares estimator, The Korean Communications in Statistics Vol. 9, No.3, 639-647 https://doi.org/10.5351/CKSS.2002.9.3.639
  7. Shin, K-I. (2004). A multivariate unit root test based on the modified weighted symmetric estimator for VAR(p), Journal of Applied Statistics, Vol. 31, No.5, 587-596 https://doi.org/10.1080/02664760410001681774