References
- Geweke , J. and Porter-Hudak , S. 1983 . The estimating and application of long memory time series models . Journal of Time Series Analysis , 4 : 221 – 38 .
- Li , W. K. and McLeod , A. I. 1986 . Fractional time series modelling . Biometrika , 73 : 217 – 221 .
- Fox , R. and Taqqu , M. S. 1986 . Large sample properties of parameter estimates for strongly dependent stationary gaussian time series . Annals of Statistics , 14 : 517 – 532 .
- Yajima , Y. 1988 . On estimating of a regression model with long-memory stationary errors . Annals of Statistics , 16 : 791 – 807 .
- Haslett , J. and Raftery , A. E. 1989 . Space-time modelling with long–memory dependence: assessing Ireland’s wind power resource . Journal of Applied Statistics , 38 : 1 – 50 . Invited paper with discussion
- Whittle . 1953 . Estimation and information in stationary time series . Arkiv for Matematik , 2 : 423 – 434 .
- Beran , J. 1994 . Statistics for Long-Memory Processes , New York : Chapman and Hall .
- Hurvich , C. and Chen , W. W. 2000 . An efficient taper for potentially overdifferenced long memory time series . Journal of Time Series Analysis , 21 : 155 – 180 .
- Abry , P. , Gonçalvès , P. and Flandrin , P. Wavelet-based spectral analysis of 1/f processes . Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing . Minneapolis. Vol. 3 , pp. 237 – 40 .
- Percival and Guttorp . 1994 . “ Long-memory processes, the Allan variance and wavelets ” . In Wavelets in Geophysics , Edited by: Foufoula-Georgiou , E. and Kumar , P. 325 – 344 . San Diego : Academic Press .
- McCoy , E. J. and Walden , A. T. 1996 . Wavelet analysis and synthesis of stationary long-memory processes . Journal of Computational and Graphical Statistics , 5 : 26 – 56 .
- Veitch , D. and Abry , P. 1999 . A wavelet based joint estimator of the parameters of long-range dependence . IEEE Transactions on Information Theory , 45 : 878 – 897 .
- Jensen , M. J. 1999 . Using wavelets to obtain a consistent ordinary least squares estimator of the long-memory parameter . Journal of Forecasting , 18 : 17 – 32 .
- Craigmile , P. , Guttorp , P. and Percival , D. 2005 . Wavelet-based parameter estimation for polynomial contaminated fractionally differenced processes . IEEE Transactions on Signal Processing , in press
- Brockwell , P. J. and Davis , R. A. 1991 . Time Series: Theory and Methods , (2nd edn) , New York : Springer .
- Dahlhaus , R. 1989 . Efficient parameter estimation for self-similar processes . Annals of Statistics , 17 : 1749 – 1766 .
- Percival , D. B. and Walden , A. T. 2000 . Wavelet Methods for Time Series Analysis , Cambridge, , UK : Cambridge University Press .
- Wornell , G. W. 1995 . Signal Processing with Fractals , New Jersey : Prentice Hall .
- Davies , R. B. and Harte , D. S. 1987 . Tests for hurst effect . Biometrika , 74 : 95 – 101 .
- Craigmile , P. , Guttorp , P. and Percival , D. 2004 . Trend assessment in a long memory dependence model using the discrete wavelet transform . Environmetrics , 15 : 313 – 335 .