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Volumn 6, Issue 4, 2000, Pages 709-728

Parametric estimation for Gaussian long-range dependent processes based on the log-periodogram

Author keywords

Gaussian processes; Log periodogram; Long range dependence; Minimum contrast estimators; Spectral estimates

Indexed keywords


EID: 0042511045     PISSN: 13507265     EISSN: None     Source Type: Journal    
DOI: 10.2307/3318516     Document Type: Article
Times cited : (9)

References (12)
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    • Dahlhaus, R.1
  • 3
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    • The estimation and application of long memory time series models
    • Geweke, J. and Porter-Hudak, S. (1990) The estimation and application of long memory time series models. J. Time Series Anal., 4, 221-238.
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    • Geweke, J.1    Porter-Hudak, S.2
  • 4
    • 0001865584 scopus 로고
    • Multivariate Appell polynomials and the central limit theorem
    • E. Eberlein and M.S. Taqqu (eds), Boston: Birkhäuser
    • Giraitis, L. and Surgailis, D. (1986) Multivariate Appell polynomials and the central limit theorem. In E. Eberlein and M.S. Taqqu (eds), Dependence in Probability and Statistics. Boston: Birkhäuser.
    • (1986) Dependence in Probability and Statistics
    • Giraitis, L.1    Surgailis, D.2
  • 5
    • 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
  • 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
    • 0001340698 scopus 로고
    • Central limit theorems for quadratic forms in random variables having long range dependence
    • Fox, R. and Taqqu, M.S. (1987) Central limit theorems for quadratic forms in random variables having long range dependence. Probab. Theory Related Fields, 74, 213-240.
    • (1987) Probab. Theory Related Fields , vol.74 , pp. 213-240
    • Fox, R.1    Taqqu, M.S.2
  • 8
    • 0000845598 scopus 로고
    • Discrimination between monotonie trends and long range dependence
    • Künsch, H.R. (1986) Discrimination between monotonie trends and long range dependence J. Appl. Probab., 23, 1025-1030.
    • (1986) J. Appl. Probab. , vol.23 , pp. 1025-1030
    • Künsch, H.R.1
  • 9
    • 84981426974 scopus 로고
    • Asymptotics for the Jew-frequency ordinates of the periodogram of a long-memory time series
    • Hurvich, C.M. and Beltrao, K.I. (1993) Asymptotics for the Jew-frequency ordinates of the periodogram of a long-memory time series. J. Time Series Anal., 14, 455-472.
    • (1993) J. Time Series Anal. , vol.14 , pp. 455-472
    • Hurvich, C.M.1    Beltrao, K.I.2
  • 10
    • 0000668540 scopus 로고
    • Log-periodogram regression of time series with long range dependence
    • Robinson, P.M. (1995) Log-periodogram regression of time series with long range dependence. Ann. Statist., 23, 1048-1072.
    • (1995) Ann. Statist. , vol.23 , pp. 1048-1072
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  • 11
    • 34250296747 scopus 로고
    • Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence
    • Taqqu, M.S. (1977) Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence. Z. Wahrscheinlichkeitstheorie Verw. Geb., 40, 203-238.
    • (1977) Z. Wahrscheinlichkeitstheorie Verw. Geb. , vol.40 , pp. 203-238
    • Taqqu, M.S.1
  • 12
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    • On estimation of parameters of Gaussian stationary processes
    • Taniguchi, M. (1979) On estimation of parameters of Gaussian stationary processes. J. Appl. Probab., 16, 575-591.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.