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Volumn 26, Issue 2, 1998, Pages 719-740

State space modeling of long-memory processes

Author keywords

ARFIMA; Asymptotic normality; Consistency; Efficiency; Long memory; MLE; Truncated state space

Indexed keywords


EID: 0040585177     PISSN: 00905364     EISSN: None     Source Type: Journal    
DOI: 10.1214/aos/1028144856     Document Type: Article
Times cited : (84)

References (22)
  • 2
    • 0001895030 scopus 로고
    • Trends in global temperature
    • BLOOMFIELD, P. (1992). Trends in global temperature. Climatic Change 21 1-16.
    • (1992) Climatic Change , vol.21 , pp. 1-16
    • Bloomfield, P.1
  • 4
    • 0039657324 scopus 로고
    • On maximum likelihood estimation of the differencing parameter of fractionally integrated noise with unknown mean
    • CHEUNG, Y. W. and DIEBOLD, F. (1994). On maximum likelihood estimation of the differencing parameter of fractionally integrated noise with unknown mean. J. Econometrics 62 317-350.
    • (1994) J. Econometrics , vol.62 , pp. 317-350
    • Cheung, Y.W.1    Diebold, F.2
  • 5
    • 0001318609 scopus 로고
    • Efficient parameter estimation for self-similar processes
    • DAHLHAUS, R. (1989). Efficient parameter estimation for self-similar processes. Ann. Statist. 17 1749-1766.
    • (1989) Ann. Statist. , vol.17 , pp. 1749-1766
    • Dahlhaus, R.1
  • 6
    • 0002188727 scopus 로고
    • Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series
    • Fox, R. and TAQQU, M. S. (1986). Large-sample properties of parameter estimates for strongly dependent stationary Gaussian time series. Ann. Statist. 14 517-532.
    • (1986) Ann. Statist. , vol.14 , pp. 517-532
    • Fox, R.1    Taqqu, M.S.2
  • 7
    • 84986759400 scopus 로고
    • The estimation and application of long-memory time series models
    • GEWEKE, J. and PORTER-HUDAK, S. (1983). The estimation and application of long-memory time series models. J. Time Ser. Anal. 4 221-237.
    • (1983) J. Time Ser. Anal. , vol.4 , pp. 221-237
    • Geweke, J.1    Porter-Hudak, S.2
  • 8
    • 0001898682 scopus 로고
    • A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotic normality of Whittle's estimate
    • GIRAITIS, L. and SURGAILIS, D. (1990). A central limit theorem for quadratic forms in strongly dependent linear variables and its application to asymptotic normality of Whittle's estimate. Probab. Theory Related Fields 86 87-104.
    • (1990) Probab. Theory Related Fields , vol.86 , pp. 87-104
    • Giraitis, L.1    Surgailis, D.2
  • 9
    • 0000302722 scopus 로고
    • The asymptotic theory of linear time-series models
    • HANNAN, E. J. (1973). The asymptotic theory of linear time-series models. J. Appl. Probab. 10 130-145.
    • (1973) J. Appl. Probab. , vol.10 , pp. 130-145
    • Hannan, E.J.1
  • 11
    • 77956890381 scopus 로고
    • Fractional differencing
    • HOSKING, J. R. M. (1981). Fractional differencing. Biometrika 68 165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.M.1
  • 13
    • 84981426974 scopus 로고
    • Asymptotics for the low-frequency ordinates of the periodogram of a long-memory time series
    • HURVICH, C. M. and BELTRAO, K. I. (1993). Asymptotics for the low-frequency ordinates of the periodogram of a long-memory time series. J. Time Ser. Anal. 14 455-472.
    • (1993) J. Time Ser. Anal. , vol.14 , pp. 455-472
    • Hurvich, C.M.1    Beltrao, K.I.2
  • 14
    • 0001353940 scopus 로고
    • Maximum likelihood fitting of ARMA models to time series with missing observations
    • JONES, R. H. (1980). Maximum likelihood fitting of ARMA models to time series with missing observations. Technometrics 22 389-395.
    • (1980) Technometrics , vol.22 , pp. 389-395
    • Jones, R.H.1
  • 15
    • 0003081894 scopus 로고
    • Fractional time series modelling
    • LI, W. K. and MCLEOD, A. I. (1986). Fractional time series modelling. Biometrika 73 217-221.
    • (1986) Biometrika , vol.73 , pp. 217-221
    • Li, W.K.1    McLeod, A.I.2
  • 17
    • 0000901977 scopus 로고
    • Computer experiments with fractional Gaussian noises
    • MANDELBROT, B. B. and WALLIS, J. R. (1969). Computer experiments with fractional Gaussian noises. Water Resources Research 6 225-267.
    • (1969) Water Resources Research , vol.6 , pp. 225-267
    • Mandelbrot, B.B.1    Wallis, J.R.2
  • 20
    • 0002230924 scopus 로고
    • Time series with strong dependence
    • C. A. Sims, ed. Cambridge Univ. Press
    • ROBINSON, P. M. (1994). Time series with strong dependence. In Advances in Econometrics, Sixth World Congress (C. A. Sims, ed.) 1 47-95. Cambridge Univ. Press.
    • (1994) Advances in Econometrics, Sixth World Congress , vol.1 , pp. 47-95
    • Robinson, P.M.1
  • 21
    • 21344446855 scopus 로고
    • Gaussian semiparametric estimation of long range dependence
    • ROBINSON, P. M. (1995). Gaussian semiparametric estimation of long range dependence. Ann. Statist. 23 1630-1661.
    • (1995) Ann. Statist. , vol.23 , pp. 1630-1661
    • Robinson, P.M.1
  • 22
    • 44049114907 scopus 로고
    • Maximum likelihood estimation of stationary univariate fractionally integrated time series models
    • SOWELL, F. (1992). Maximum likelihood estimation of stationary univariate fractionally integrated time series models. J. Econometrics 53 165-188.
    • (1992) J. Econometrics , vol.53 , pp. 165-188
    • Sowell, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.