[1] Baillie, R. T. (1996). Long memory processes and fractional integration in econometrics. Journal of Econometrics 73 5-59.
[10] Cheung, Y. E. and Lai, K. S. (1993). A fractional cointegration analysis of purchasing power parity. Journal of Business & Economic Statistics 11 103-122.
[11] Christensen, B. J. and Nielsen, M. Ø. (2004). Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting. Available at http://www.people.cornell.edu/pages/mon2/. Forthcoming in Journal of Econometrics.
[12] Davidson, J. (2002). A model of fractional cointegration, and tests for cointegration using the bootstrap. Journal of Econometrics 110 187-212.
[13] Diebold, F. X., Gardeazabal, J., and Yilmaz, K. (1994). On cointegration and exchange rate dynamics. Journal of Finance 49 727-735.
[14] Dolado, J. J. and Marmol, F. (2004). Asymptotic inference results for multivariate long memory processes. Econometrics Journal 7 168-190.
[15] Dueker, M. and Startz, R. (1998). Maximum-likelihood estimation of fractional cointegration with an application to U.S. and Canadian bond rates. Review of Economics & Statistics 83 420-426.
[16] Engle, R. and Granger, C. W. J. (1987). Cointegration and error correction: representation, estimation and testing. Econometrica 55 251-276.
- [17] Fujikoshi, Y. (1985). Two methods for estimation of dimensionality in canonical correlation analysis and the multivariate linear model. In Statistical Theory and Data Analysis (L. Matusita, ed.) 233-240. Elsevier, Amsterdam.
Paper not yet in RePEc: Add citation now
- [18] Fujikoshi, Y. and Veitch, L. G. (1979). Estimation of dimensionality in canonical correlation analysis. Biometrika 66 345-351.
Paper not yet in RePEc: Add citation now
[19] Granger, C. W. J. (1981). Some properties of time series data and their use in econometric model specification. Journal of Econometrics 16 121-130.
[2] Baillie, R. T. and Bollerslev, T. (1989). Common stochastic trends in a system of exchange rates. Journal of Finance 44 167-181.
[20] Gunderson, B. K. and Muirhead, R. J. (1997). On estimating the dimensionality in canonical correlation analysis. Journal of Multivariate Analysis 62 121-136.
- [21] Henry, M. and Zaffaroni, P. (2003). The long range dependence paradigm for macroeconomics and finance. In Theory and Applications of Long-Range Dependence (P. Doukhan, G. Oppenheim, and M. S. Taqqu, eds.) 417-438. Birkhäuser, Boston.
Paper not yet in RePEc: Add citation now
[22] Hassler, U. and Breitung, J. (2005). A residual-based LM type test against fractional cointegration. Forthcoming in Econometric Theory.
[23] Hassler, U., Marmol, F., and Velasco, C. (2006). Residual log-periodogram inference for long-run relationships. Journal of Econometrics 130 165-207.
[24] Johansen, S. (1988). Statistical analysis of cointegration vectors. Journal of Economic Dynamics & Control 12 231-254.
[25] Johansen, S. (1991). Estimation and hypothesis testing of cointegration vectors in Gaussian vector autoregressive models. Econometrica 59 1551-1580.
- [26] Kim, C. S. and Phillips, P. C. B. (2001). Fully modified estimation of fractional cointegration models. Working paper, Yale University.
Paper not yet in RePEc: Add citation now
[27] Krämer, W. and Marmol, F. (2004). The power of residual-based tests for cointegration when residuals are fractionally integrated. Economics Letters 82 63-69.
- [28] Künsch, H. (1987). Statistical aspects of self-similar processes. In Proceedings of the First World Congress of the Bernoulli Society (Y. Prokhorov and V. V. Sazanov, eds.) 1 67-74. VNU Science Press, Utrecht.
Paper not yet in RePEc: Add citation now
[29] Lobato, I. N. (1999). A semiparametric two-step estimator in a multivariate long memory model. Journal of Econometrics 90 129-153.
[30] Lobato, I. N. and C. Velasco (2000). Long memory in stock-market trading volume. Journal of Business & Economic Statistics 18 410-427.
[31] Marinucci, D. and Robinson, P. M. (1999). Alternative forms of fractional Brownian motion. Journal of Statistical Planning & Inference 80 111-122.
[32] Marinucci, D. and Robinson, P. M. (2001). Semiparametric fractional cointegration analysis. Journal of Econometrics 105 225-247.
[33] Marmol, F. and Velasco, C. (2004). Consistent testing of cointegrating relationships. Econometrica 72 1809-1844.
[34] Nielsen, M. Ø. (2004a). Spectral analysis of fractionally cointegrated systems. Economics Letters 83 225-231.
[35] Nielsen, M. Ø. (2004b). Optimal residual based tests for fractional cointegration and exchange rate dynamics. Journal of Business & Economic Statistics 22 331-345.
[36] Phillips, P. C. B. and Ouliaris, S. (1988). Testing for cointegration using principal components methods. Journal of Economic Dynamics & Control 12 205-230.
- [37] Robinson, P. M. (1995). Gaussian semiparametric estimation of long range dependence. Annals of Statistics 23 1630-1661.
Paper not yet in RePEc: Add citation now
[38] Robinson, P. M. and Hualde, J. (2003). Cointegration in fractional systems with unknown integration orders. Econometrica 71 1727-1766.
- [39] Robinson, P. M. and Marinucci, D. (2003). Semiparametric frequency domain analysis of fractional cointegration. In Time Series With Long Memory (P. M. Robinson, ed.) 334-373. Oxford University Press, Oxford.
Paper not yet in RePEc: Add citation now
[4] Breitung, J. and Hassler, U. (2002). Inference on the cointegration rank in fractionally integrated processes. Journal of Econometrics 110 167-185.
[40] Robinson, P. M. and Yajima, Y. (2002). Determination of cointegrating rank in fractional systems. Journal of Econometrics 106 217-242.
[41] Robinson, P. M. (2005). The distance between rival nonstationary fractional processes. Journal of Econometrics 128 195-236.
[42] Shimotsu, K. (2004). Exact local Whittle estimation of fractional integration with unknown mean and time trend. Working paper, Queens University. Available at http://qed.econ.queensu.ca/pub/faculty/shimotsu/.
- [44] Velasco, C. (1999). Gaussian semiparametric estimation of non-stationary time series. Journal of Time Series Analysis 20 87-127.
Paper not yet in RePEc: Add citation now
[45] Velasco, C. (2003a). Gaussian semi-parametric estimation of fractional cointegration. Journal of Time Series Analysis 24 345-378.
- [46] Velasco, C. (2003b). Nonparametric frequency domain analysis of nonstationary multivariate time series. Journal of Statistical Planning and Inference 116 209-247.
Paper not yet in RePEc: Add citation now
- [47] Whittaker, E. T. and Watson, G. N. (1927). A Course of Modern Analyis, 4th edition, Cambridge University Press.
Paper not yet in RePEc: Add citation now
- [5] Brown, B. M. (1971). Martingale central limit theorems. Annals of Mathematical Statistics 42 59-66.
Paper not yet in RePEc: Add citation now
[6] Brunetti, C. and Gilbert, C. L. (2000). Bivariate FIGARCH and fractional cointegration. Journal of Empirical Finance 7 509-530.
[7] Chen, W. W. and Hurvich, C. M. (2003a). Semiparametric estimation of multivariate fractional cointegration. Journal of the American Statistical Association 98 629-642.
[8] Chen, W. W. and Hurvich, C. M. (2003b). Estimating fractional cointegration in the presence of polynomial trends. Journal of Econometrics 117 95-121.
[9] Chen, W. W. and Hurvich, C. M. (2004). Semiparametric estimation of fractional cointegrating subspaces. Working paper, New York University.