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Volumn 18, Issue 1, 1999, Pages 17-32

Using wavelets to obtain a consistent ordinary least squares estimator of the long-memory parameter

Author keywords

Fractionally integrated processes; Long memory; Wavelets

Indexed keywords


EID: 0003047092     PISSN: 02776693     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-131X(199901)18:1<17::AID-FOR686>3.0.CO;2-M     Document Type: Article
Times cited : (116)

References (43)
  • 1
    • 2942569699 scopus 로고
    • Long-memory inflation uncertainty: Evidence from the structure of interest rates
    • Backus, D. K. and Zin, S. E., 'Long-memory inflation uncertainty: evidence from the structure of interest rates', Journal of Money, Credit, and Banking (1993), 681-700.
    • (1993) Journal of Money, Credit, and Banking , pp. 681-700
    • Backus, D.K.1    Zin, S.E.2
  • 2
    • 84993911790 scopus 로고
    • Cointegration, fractional cointegration and exchange rate dynamics
    • Baillie, R. T. and Bollerslev, T., 'Cointegration, fractional cointegration and exchange rate dynamics', Journal of Finance, 49 (1994), 737-745.
    • (1994) Journal of Finance , vol.49 , pp. 737-745
    • Baillie, R.T.1    Bollerslev, T.2
  • 3
    • 21344432533 scopus 로고    scopus 로고
    • Analyzing inflation by the fractionally integrated ARFIMA-GARCH model
    • Baillie, R. T., Chung, C. F. and Tieslau, M. A., 'Analyzing inflation by the fractionally integrated ARFIMA-GARCH model', Journal of Applied Econometrics, 11 (1996), 23-40.
    • (1996) Journal of Applied Econometrics , vol.11 , pp. 23-40
    • Baillie, R.T.1    Chung, C.F.2    Tieslau, M.A.3
  • 9
    • 0002231124 scopus 로고
    • Tests for Hurst effect
    • Davies, R. and Harte, D., 'Tests for Hurst effect', Biometrika, 74 (1987), 95-101.
    • (1987) Biometrika , vol.74 , pp. 95-101
    • Davies, R.1    Harte, D.2
  • 10
    • 0027676913 scopus 로고
    • Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process
    • Deriche, M. and Tewfik, A. H., 'Maximum likelihood estimation of the parameters of discrete fractionally differenced Gaussian noise process', IEEE Transactions on Signal Processing, 41 (1993), 2977-2989.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , pp. 2977-2989
    • Deriche, M.1    Tewfik, A.H.2
  • 11
    • 0002856867 scopus 로고
    • Is consumption too smooth? Long memory and the Deaton paradox
    • Diebold, F. and Rudebusch, G., 'Is consumption too smooth? Long memory and the Deaton paradox', Review of Economics and Statistics, 73 (1991), 1-9.
    • (1991) Review of Economics and Statistics , vol.73 , pp. 1-9
    • Diebold, F.1    Rudebusch, G.2
  • 12
  • 13
    • 0041958932 scopus 로고
    • Ideal spatial adaptation via wavelet shrinkage
    • Donoho, D. L. and Johnstone, I. M., 'Ideal spatial adaptation via wavelet shrinkage', Biometrika, 81 (1994), 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.L.1    Johnstone, I.M.2
  • 15
    • 0030504418 scopus 로고    scopus 로고
    • Minimax estimation via wavelet shrinkage
    • Donoho, D. L. and Johnstone, I. M., 'Minimax estimation via wavelet shrinkage', Annals of Statistics, 24 (1996), 508-539.
    • (1996) Annals of Statistics , vol.24 , pp. 508-539
    • Donoho, D.L.1    Johnstone, I.M.2
  • 18
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • Fox, R. and Taqqu, M. S., 'Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series', Annals of Statistics, 14 (1986), 517-532.
    • (1986) Annals of Statistics , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 19
    • 84986759400 scopus 로고
    • The estimation and application of long memory time series models
    • Geweke, J. and Porter-Hudak, S., 'The estimation and application of long memory time series models', Journal of Time Series Analysis, 4 (1983), 221-238.
    • (1983) Journal of Time Series Analysis , vol.4 , pp. 221-238
    • Geweke, J.1    Porter-Hudak, S.2
  • 20
    • 84986792205 scopus 로고
    • An introduction to long-memory time series models and fractional differencing
    • Granger, C. and Joyeux, R., 'An introduction to long-memory time series models and fractional differencing', Journal of Time Series Analysis, 1 (1980), 15-29.
    • (1980) Journal of Time Series Analysis , vol.1 , pp. 15-29
    • Granger, C.1    Joyeux, R.2
  • 22
    • 77956890381 scopus 로고
    • Fractional differencing
    • Hosking, J. R., 'Fractional differencing', Biometrika, 68 (1981), 165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.1
  • 23
    • 84981426974 scopus 로고
    • Asymptotics for the low-frequency ordinates of the periodogram of a long-memory time series
    • Hurvich, C. and Beltrao, K., 'Asymptotics for the low-frequency ordinates of the periodogram of a long-memory time series', Journal of Time Series Analysis, 14 (1993), 455-472.
    • (1993) Journal of Time Series Analysis , vol.14 , pp. 455-472
    • Hurvich, C.1    Beltrao, K.2
  • 24
    • 0027885129 scopus 로고
    • Fractal estimation from noisy data via discrete fractional Gaussian noise and the Haar basis
    • Kaplan, L. and Kuo, C., 'Fractal estimation from noisy data via discrete fractional Gaussian noise and the Haar basis', IEEE Transactions on Signal Processing, 41 (1993), 3554-3562.
    • (1993) IEEE Transactions on Signal Processing , vol.41 , pp. 3554-3562
    • Kaplan, L.1    Kuo, C.2
  • 25
    • 0003081894 scopus 로고
    • Fractional time series modelling
    • Li, W. K. and McLeod, A. I., 'Fractional time series modelling', Biometrika, 73 (1986), 217-21.
    • (1986) Biometrika , vol.73 , pp. 217-221
    • Li, W.K.1    McLeod, A.I.2
  • 26
    • 0000140166 scopus 로고
    • Long-term memory in stock market prices
    • Lo, A. W., 'Long-term memory in stock market prices', Econometrica, 59 (1991), 1279-1313.
    • (1991) Econometrica , vol.59 , pp. 1279-1313
    • Lo, A.W.1
  • 28
    • 0017981445 scopus 로고
    • Preservation of the rescaled adjusted range, I. a reassessment of the Hurst phenomenon
    • McLeod, B. and Hipel, K., 'Preservation of the rescaled adjusted range, I. A reassessment of the Hurst phenomenon', Water Resources Research, 14 (1978), 491-518.
    • (1978) Water Resources Research , vol.14 , pp. 491-518
    • McLeod, B.1    Hipel, K.2
  • 29
    • 0024700097 scopus 로고
    • A theory for multiresolution signal decomposition: The wavelet representation
    • Mallat, S., 'A theory for multiresolution signal decomposition: the wavelet representation', IEEE Transactions on Pattern Analysis and Machine Intelligence, 11 (1989), 674-693.
    • (1989) IEEE Transactions on Pattern Analysis and Machine Intelligence , vol.11 , pp. 674-693
    • Mallat, S.1
  • 33
    • 0020923517 scopus 로고
    • Sampling theory and wave propagation
    • Chen, C. H. (ed.), Berlin: Springer-Verlag
    • Morlet, J., 'Sampling theory and wave propagation', in Chen, C. H. (ed.), Acoustic Signal/Image Processing and Recognition, Berlin: Springer-Verlag, 1983.
    • (1983) Acoustic Signal/Image Processing and Recognition
    • Morlet, J.1
  • 34
    • 0000477306 scopus 로고
    • On estimation of the wavelet variance
    • Percival, D. P., 'On estimation of the wavelet variance', Biometrika, 82 (1995), 619-631.
    • (1995) Biometrika , vol.82 , pp. 619-631
    • Percival, D.P.1
  • 37
    • 21344446855 scopus 로고
    • Log-periodogram regression of time series with long range dependence
    • Robinson, P. M., 'Log-periodogram regression of time series with long range dependence', Annals of Statistics, 23 (1995), 1040-1072.
    • (1995) Annals of Statistics , vol.23 , pp. 1040-1072
    • Robinson, P.M.1
  • 39
    • 44049120475 scopus 로고
    • Modeling long run behavior with the Fractional ARIMA model
    • Sowell, F. B., 'Modeling long run behavior with the Fractional ARIMA model', Journal of Monetary Economics, 29 (1992), 277-302.
    • (1992) Journal of Monetary Economics , vol.29 , pp. 277-302
    • Sowell, F.B.1
  • 42
    • 0026679673 scopus 로고
    • Correlation structure of the discrete wavelet co-efficients of fractional Brownian motion
    • Tewfik, A. H. and Kim, M., 'Correlation structure of the discrete wavelet co-efficients of fractional Brownian motion', IEEE Transactions on Information Theory, 38 (1992), 904-909.
    • (1992) IEEE Transactions on Information Theory , vol.38 , pp. 904-909
    • Tewfik, A.H.1    Kim, M.2
  • 43
    • 0000999642 scopus 로고
    • Jump and sharp cusp detection by wavelets
    • Wang, Y., 'Jump and sharp cusp detection by wavelets', Biometrika, 82 (1995), 385-397.
    • (1995) Biometrika , vol.82 , pp. 385-397
    • Wang, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.